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231536032 = 25713233457
BaseRepresentation
bin11011100110011…
…11010110100000
3121010200020201121
431303033112200
5433233123112
634550342024
75511011110
oct1563172640
9533606647
10231536032
111097724a2
126565a914
1338c79490
1422a71040
15154d8407
hexdccf5a0

231536032 has 96 divisors (see below), whose sum is σ = 585591552. Its totient is φ = 87588864.

The previous prime is 231536021. The next prime is 231536051. The reversal of 231536032 is 230635132.

It is a happy number.

It is a super-2 number, since 2×2315360322 = 107217868228610048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231535988 and 231536006.

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, 65248 + ... + 68704.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2231536032 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 231536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292795776).

231536032 is an abundant number, since it is smaller than the sum of its proper divisors (354055520).

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

231536032 is a wasteful number, since it uses less digits than its factorization.

231536032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 231536032 is about 15216.3080936211. The cubic root of 231536032 is about 614.0534777840.

The spelling of 231536032 in words is "two hundred thirty-one million, five hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 161 182 184 208 224 299 322 364 368 416 598 644 728 736 1196 1288 1456 2093 2392 2576 2912 3457 4186 4784 5152 6914 8372 9568 13828 16744 24199 27656 33488 44941 48398 55312 66976 79511 89882 96796 110624 159022 179764 193592 314587 318044 359528 387184 556577 629174 636088 719056 774368 1033643 1113154 1258348 1272176 1438112 2067286 2226308 2516696 2544352 4134572 4452616 5033392 7235501 8269144 8905232 10066784 14471002 16538288 17810464 28942004 33076576 57884008 115768016 231536032