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232041432 = 233717113719
BaseRepresentation
bin11011101010010…
…10101111011000
3121011121221000010
431311022233120
5433400311212
635005241520
75515214430
oct1565125730
9534557003
10232041432
11109a88187
12658632a0
13390c552c
1422b632c0
151558803c
hexdd4abd8

232041432 has 128 divisors (see below), whose sum is σ = 709171200. Its totient is φ = 61759488.

The previous prime is 232041431. The next prime is 232041437. The reversal of 232041432 is 234140232.

It is a super-2 number, since 2×2320414322 = 107686452329221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 232041399 and 232041408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232041431) 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, 322369 + ... + 323087.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 2232041432 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 232041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585600).

232041432 is an abundant number, since it is smaller than the sum of its proper divisors (477129768).

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

232041432 is a wasteful number, since it uses less digits than its factorization.

232041432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232041432 is about 15232.9062230423. The cubic root of 232041432 is about 614.4999411871.

Adding to 232041432 its reverse (234140232), we get a palindrome (466181664).

The spelling of 232041432 in words is "two hundred thirty-two million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 113 119 136 168 204 226 238 339 357 408 452 476 678 714 719 791 904 952 1356 1428 1438 1582 1921 2157 2373 2712 2856 2876 3164 3842 4314 4746 5033 5752 5763 6328 7684 8628 9492 10066 11526 12223 13447 15099 15368 17256 18984 20132 23052 24446 26894 30198 36669 40264 40341 46104 48892 53788 60396 73338 80682 81247 85561 97784 107576 120792 146676 161364 162494 171122 243741 256683 293352 322728 324988 342244 487482 513366 568729 649976 684488 974964 1026732 1137458 1381199 1706187 1949928 2053464 2274916 2762398 3412374 4143597 4549832 5524796 6824748 8287194 9668393 11049592 13649496 16574388 19336786 29005179 33148776 38673572 58010358 77347144 116020716 232041432