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232091992 = 2311191271093
BaseRepresentation
bin11011101010101…
…11000101011000
3121011201111100201
431311113011120
5433403420432
635010311544
75515515016
oct1565270530
9534644321
10232091992
1110a012170
12658885b4
1339112552
1422b778b6
1515597ee7
hexdd57158

232091992 has 64 divisors (see below), whose sum is σ = 504115200. Its totient is φ = 99066240.

The previous prime is 232091963. The next prime is 232092013. The reversal of 232091992 is 299190232.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 211798 + ... + 212890.

It is an arithmetic number, because the mean of its divisors is an integer number (7876800).

Almost surely, 2232091992 is an apocalyptic number.

232091992 is a gapful number since it is divisible by the number (22) 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 232091992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252057600).

232091992 is an abundant number, since it is smaller than the sum of its proper divisors (272023208).

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

232091992 is a wasteful number, since it uses less digits than its factorization.

232091992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 232091992 is about 15234.5656977808. The cubic root of 232091992 is about 614.5445695113.

The spelling of 232091992 in words is "two hundred thirty-two million, ninety-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 127 152 209 254 418 508 836 1016 1093 1397 1672 2186 2413 2794 4372 4826 5588 8744 9652 11176 12023 19304 20767 24046 26543 41534 48092 53086 83068 96184 106172 138811 166136 212344 228437 277622 456874 555244 913748 1110488 1526921 1827496 2637409 3053842 5274818 6107684 10549636 12215368 21099272 29011499 58022998 116045996 232091992