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232185096 = 233311137517
BaseRepresentation
bin11011101011011…
…01110100001000
3121011220020002000
431311231310020
5433414410341
635012311000
75516353323
oct1565556410
9534806060
10232185096
1110a076110
1265912460
1339145a40
1422b9d7ba
15155b58b6
hexdd6dd08

232185096 has 128 divisors (see below), whose sum is σ = 757814400. Its totient is φ = 64938240.

The previous prime is 232185089. The next prime is 232185097. The reversal of 232185096 is 690581232.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 232185096.

It is not an unprimeable number, because it can be changed into a prime (232185097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27130 + ... + 34646.

It is an arithmetic number, because the mean of its divisors is an integer number (5920425).

Almost surely, 2232185096 is an apocalyptic number.

232185096 is a gapful number since it is divisible by the number (26) 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 232185096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378907200).

232185096 is an abundant number, since it is smaller than the sum of its proper divisors (525629304).

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

232185096 is a wasteful number, since it uses less digits than its factorization.

232185096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 232185096 is about 15237.6210741703. The cubic root of 232185096 is about 614.6267336394.

The spelling of 232185096 in words is "two hundred thirty-two million, one hundred eighty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3432 3861 5148 7517 7722 10296 15034 15444 22551 30068 30888 45102 60136 67653 82687 90204 97721 135306 165374 180408 195442 202959 248061 270612 293163 330748 390884 405918 496122 541224 586326 661496 744183 781768 811836 879489 992244 1074931 1172652 1488366 1623672 1758978 1984488 2149862 2232549 2345304 2638467 2976732 3224793 3517956 4299724 4465098 5276934 5953464 6449586 7035912 8599448 8930196 9674379 10553868 12899172 17860392 19348758 21107736 25798344 29023137 38697516 58046274 77395032 116092548 232185096