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232089228 = 223272321741
BaseRepresentation
bin11011101010101…
…10011010001100
3121011201100120100
431311112122030
5433403323403
635010251100
75515503660
oct1565263214
9534640510
10232089228
1110a010088
1265886a90
1339111207
1422b768a0
15155972a3
hexdd5668c

232089228 has 108 divisors (see below), whose sum is σ = 701301328. Its totient is φ = 63391680.

The previous prime is 232089217. The next prime is 232089229. The reversal of 232089228 is 822980232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232089192 and 232089201.

It is not an unprimeable number, because it can be changed into a prime (232089229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132438 + ... + 134178.

Almost surely, 2232089228 is an apocalyptic number.

232089228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232089228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350650664).

232089228 is an abundant number, since it is smaller than the sum of its proper divisors (469212100).

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

232089228 is a wasteful number, since it uses less digits than its factorization.

232089228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 232089228 is about 15234.4749827488. The cubic root of 232089228 is about 614.5421299500.

The spelling of 232089228 in words is "two hundred thirty-two million, eighty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 529 644 828 966 1058 1449 1587 1741 1932 2116 2898 3174 3482 3703 4761 5223 5796 6348 6964 7406 9522 10446 11109 12187 14812 15669 19044 20892 22218 24374 31338 33327 36561 40043 44436 48748 62676 66654 73122 80086 109683 120129 133308 146244 160172 219366 240258 280301 360387 438732 480516 560602 720774 840903 920989 1121204 1441548 1681806 1841978 2522709 2762967 3363612 3683956 5045418 5525934 6446923 8288901 10090836 11051868 12893846 16577802 19340769 25787692 33155604 38681538 58022307 77363076 116044614 232089228