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228814992 = 24327534283
BaseRepresentation
bin11011010001101…
…11000010010000
3120221120000011100
431220313002100
5432034034432
634412144400
75445616050
oct1550670220
9527500140
10228814992
111081840aa
1264768100
1338535ab3
1422563560
151514c07c
hexda37090

228814992 has 120 divisors (see below), whose sum is σ = 745827264. Its totient is φ = 64127232.

The previous prime is 228814991. The next prime is 228815003. The reversal of 228814992 is 299418822.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228814991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51283 + ... + 55565.

Almost surely, 2228814992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228814992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372913632).

228814992 is an abundant number, since it is smaller than the sum of its proper divisors (517012272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228814992 is a wasteful number, since it uses less digits than its factorization.

228814992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4348 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 228814992 is about 15126.6318789081. The cubic root of 228814992 is about 611.6385152210.

The spelling of 228814992 in words is "two hundred twenty-eight million, eight hundred fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2968 3339 3816 4283 4452 5936 6678 7632 8566 8904 12849 13356 17132 17808 25698 26712 29981 34264 38547 51396 53424 59962 68528 77094 89943 102792 119924 154188 179886 205584 226999 239848 269829 308376 359772 453998 479696 539658 616752 680997 719544 907996 1079316 1361994 1439088 1588993 1815992 2042991 2158632 2723988 3177986 3631984 4085982 4317264 4766979 5447976 6355972 8171964 9533958 10895952 12711944 14300937 16343928 19067916 25423888 28601874 32687856 38135832 57203748 76271664 114407496 228814992