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230626032 = 243713371427
BaseRepresentation
bin11011011111100…
…01001011110000
3121001222000102220
431233301023300
5433020013112
634515041040
75500201050
oct1557611360
9531860386
10230626032
1110920082a
12652a0180
1338a1b210
14228b5560
15153a898c
hexdbf12f0

230626032 has 160 divisors (see below), whose sum is σ = 753618432. Its totient is φ = 59139072.

The previous prime is 230626007. The next prime is 230626051.

230626032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230625993 and 230626011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160903 + ... + 162329.

Almost surely, 2230626032 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 230626032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376809216).

230626032 is an abundant number, since it is smaller than the sum of its proper divisors (522992400).

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

230626032 is a wasteful number, since it uses less digits than its factorization.

230626032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 230626032 is about 15186.3765263476. The cubic root of 230626032 is about 613.2479554545.

The spelling of 230626032 in words is "two hundred thirty million, six hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 1036 1092 1427 1443 1456 1554 1776 1924 2072 2184 2854 2886 3108 3367 3848 4144 4281 4368 5708 5772 6216 6734 7696 8562 9989 10101 11416 11544 12432 13468 17124 18551 19978 20202 22832 23088 26936 29967 34248 37102 39956 40404 52799 53872 55653 59934 68496 74204 79912 80808 105598 111306 119868 129857 148408 158397 159824 161616 211196 222612 239736 259714 296816 316794 369593 389571 422392 445224 479472 519428 633588 686387 739186 779142 844784 890448 1038856 1108779 1267176 1372774 1478372 1558284 2059161 2077712 2217558 2534352 2745548 2956744 3116568 4118322 4435116 4804709 5491096 5913488 6233136 8236644 8870232 9609418 10982192 14414127 16473288 17740464 19218836 28828254 32946576 38437672 57656508 76875344 115313016 230626032