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222 (number)

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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

References

  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.
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