World Library  
Flag as Inappropriate
Email this Article

222 (number)

Article Id: WHEBN0000216628
Reproduction Date:

Title: 222 (number)  
Author: World Heritage Encyclopedia
Language: English
Subject: 223 (number), 111 (number), 220 (number), Noncototient, 182 (number)
Collection: Integers
Publisher: World Heritage Encyclopedia

222 (number)

221 222 223
Cardinal two hundred twenty-two
Ordinal 222nd
(two hundred and twenty-second)
Factorization 2 × 3 × 37
Roman numeral CCXXII
Binary 110111102
Ternary 220203
Quaternary 31324
Quinary 13425
Senary 10106
Octal 3368
Duodecimal 16612
Hexadecimal DE16
Vigesimal B220
Base 36 6636

222 (two hundred [and] twenty-two) is the natural number following 221 and preceding 223.

It is a decimal repdigit[1] and a strobogrammatic number (meaning that it looks the same turned upside down on a calculator display).[2] It is one of the numbers whose digit sum in decimal is the same as it is in binary.[3]

222 is a noncototient, meaning that it cannot be written in the form n − φ(n) where φ is Euler's totient function counting the number of values that are smaller than n and relatively prime to it.[4]

There are exactly 222 distinct ways of assigning a meet and join operation to a set of ten unlabeled elements in order to give them the structure of a lattice,[5] and exactly 222 different six-edge polysticks.[6]

See also


  1. ^ "Sloane's A010785 : Repdigit numbers, or numbers with repeated digits", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ "Sloane's A018846 : Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals)", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ "Sloane's A037308 : Numbers n such that (sum of base 2 digits of n) = (sum of base 10 digits of n)", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ "Sloane's A005278 : Noncototients: n such that x-phi(x) = n has no solution", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ "Sloane's A006966 : Number of lattices on n unlabeled nodes", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ "Sloane's A019988 : Number of ways of embedding a connected graph with n edges in the square lattice", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.

Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.