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232012088 = 237111572399
BaseRepresentation
bin11011101010000…
…11100100111000
3121011120102202022
431311003210320
5433343341323
635004454012
75515033040
oct1565034470
9534512668
10232012088
11109a68130
126584a308
13390b5079
1422b56720
151557e4c8
hexdd43938

232012088 has 64 divisors (see below), whose sum is σ = 546048000. Its totient is φ = 89781120.

The previous prime is 232012087. The next prime is 232012127. The reversal of 232012088 is 880210232.

232012088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232012087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95513 + ... + 97911.

It is an arithmetic number, because the mean of its divisors is an integer number (8532000).

Almost surely, 2232012088 is an apocalyptic number.

232012088 is a gapful number since it is divisible by the number (28) 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 232012088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273024000).

232012088 is an abundant number, since it is smaller than the sum of its proper divisors (314035912).

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

232012088 is a wasteful number, since it uses less digits than its factorization.

232012088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 232012088 is about 15231.9430145993. The cubic root of 232012088 is about 614.4740368385.

The spelling of 232012088 in words is "two hundred thirty-two million, twelve thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 157 308 314 616 628 1099 1256 1727 2198 2399 3454 4396 4798 6908 8792 9596 12089 13816 16793 19192 24178 26389 33586 48356 52778 67172 96712 105556 134344 184723 211112 369446 376643 738892 753286 1477784 1506572 2636501 3013144 4143073 5273002 8286146 10546004 16572292 21092008 29001511 33144584 58003022 116006044 232012088