228 (number)

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

## In mathematics

Short description: Natural number

| <- 227  | 228 |  229 ->

|
|

← 220 221 222 223 224 225 226 227 228 229 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

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)". OEIS Foundation. https://oeis.org/A033950.
2. ↑ Sloane, N. J. A., ed. "Sequence A005153 (Practical numbers)". OEIS Foundation. https://oeis.org/A005153.
3. ↑ Sloane, N. J. A., ed. "Sequence A030186 (a(n) = 3a(n-1) + a(n-2) - a(n-3))". OEIS Foundation. https://oeis.org/A030186.
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))". OEIS Foundation. https://oeis.org/A090943.

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