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232475136 = 2931729307
BaseRepresentation
bin11011101101101…
…00101000000000
3121012102221221020
431312310220000
5434003201021
635022425440
75522002035
oct1566645000
9535387836
10232475136
1110a254013
1265a32280
1339217a6a
1422c3738c
15156217c6
hexddb4a00

232475136 has 160 divisors (see below), whose sum is σ = 680581440. Its totient is φ = 70189056.

The previous prime is 232475101. The next prime is 232475141. The reversal of 232475136 is 631574232.

It is a junction number, because it is equal to n+sod(n) for n = 232475097 and 232475106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757095 + ... + 757401.

It is an arithmetic number, because the mean of its divisors is an integer number (4253634).

Almost surely, 2232475136 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 232475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

232475136 is an abundant number, since it is smaller than the sum of its proper divisors (448106304).

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

232475136 is a wasteful number, since it uses less digits than its factorization.

232475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 232475136 is about 15247.1353374986. The cubic root of 232475136 is about 614.8825527591.

The spelling of 232475136 in words is "two hundred thirty-two million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 256 272 307 348 384 408 464 493 512 544 614 696 768 816 921 928 986 1088 1228 1392 1479 1536 1632 1842 1856 1972 2176 2456 2784 2958 3264 3684 3712 3944 4352 4912 5219 5568 5916 6528 7368 7424 7888 8704 8903 9824 10438 11136 11832 13056 14736 14848 15657 15776 17806 19648 20876 22272 23664 26112 26709 29472 31314 31552 35612 39296 41752 44544 47328 53418 58944 62628 63104 71224 78592 83504 94656 106836 117888 125256 126208 142448 151351 157184 167008 189312 213672 235776 250512 252416 284896 302702 334016 378624 427344 454053 471552 501024 569792 605404 668032 757248 854688 908106 1002048 1139584 1210808 1336064 1709376 1816212 2004096 2279168 2421616 2672128 3418752 3632424 4008192 4558336 4843232 6837504 7264848 8016384 9686464 13675008 14529696 19372928 29059392 38745856 58118784 77491712 116237568 232475136