228 (number)

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

227 228 229
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Cardinal two hundred twenty-eight
Ordinal 228th
(two hundred twenty-eighth)
Factorization 22× 3 × 19
Prime no
Greek numeral ΣΚΗ´
Roman numeral CCXXVIII
Binary 111001002
Ternary 221103
Quaternary 32104
Quinary 14035
Senary 10206
Octal 3448
Duodecimal 17012
Hexadecimal E416
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]

The binary form of 228 contains all the two digit binary numbers in sequence from highest to lowest (11 10 01 00).

References

  1. Sloane, N.J.A. (ed.). "Sequence A033950 (Refactorable numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. Sloane, N.J.A. (ed.). "Sequence A005153 (Practical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. Sloane, N.J.A. (ed.). "Sequence A030186 (a(n) = 3a(n-1) + a(n-2) - a(n-3))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. Sloane, N.J.A. (ed.). "Sequence 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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