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# 228 (number)

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 Title: 228 (number) Author: World Heritage Encyclopedia Language: English Subject: Collection: Integers Publisher: World Heritage Encyclopedia Publication Date:

### 228 (number)

228 (two hundred [and] twenty eight) is the natural number following 227 and preceding 229.

 ← 227 228 229 →
Cardinal two hundred twenty-eight
Ordinal 228th
(two hundred and twenty-eighth)
Factorization 22× 3 × 19
Prime no
Roman numeral CCXXVIII
Binary 111001002
Ternary 221103
Quaternary 32104
Quinary 14035
Senary 10206
Octal 3448
Duodecimal 17012
Vigesimal B820
Base 36 6C36

228 is a refactorable number,[1] and a practical number.[2] There are 228 matchings in a ladder graph with five rungs.[3] 228 is the smallest even number n such that the numerator of the nth Bernoulli number is divisible by a nontrivial square number that is relatively prime to n.[4]

## References

1. ^ "Sloane's A033950 : Refactorable numbers", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. ^ "Sloane's A005153 : Practical numbers", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
3. ^ "Sloane's A030186 : a(n) = 3a(n-1) + a(n-2) - a(n-3)", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
4. ^ "Sloane's A090943 : Even numbers n such that N(n) is divisible by a nontrivial square, m^2, say and GCD(n,m)=1, where N(n) is the numerator of the Bernoulli number B(n)", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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