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232891104 = 25322710687
BaseRepresentation
bin11011110000110…
…10001011100000
3121020020002112110
431320122023200
5434110003404
635035355320
75525353545
oct1570321340
9536202473
10232891104
1110a508596
1265bb2b40
13393321b4
1422d04bcc
15156a4b89
hexde1a2e0

232891104 has 48 divisors (see below), whose sum is σ = 614089728. Its totient is φ = 77281152.

The previous prime is 232891091. The next prime is 232891117. The reversal of 232891104 is 401198232.

It is an interprime number because it is at equal distance from previous prime (232891091) and next prime (232891117).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16449 + ... + 27135.

It is an arithmetic number, because the mean of its divisors is an integer number (12793536).

Almost surely, 2232891104 is an apocalyptic number.

232891104 is a gapful number since it is divisible by the number (24) 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 232891104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307044864).

232891104 is an abundant number, since it is smaller than the sum of its proper divisors (381198624).

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

232891104 is a wasteful number, since it uses less digits than its factorization.

232891104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 232891104 is about 15260.7700985239. The cubic root of 232891104 is about 615.2490709036.

The spelling of 232891104 in words is "two hundred thirty-two million, eight hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 7264 10687 10896 21374 21792 32061 42748 64122 85496 128244 170992 256488 341984 512976 1025952 2425949 4851898 7277847 9703796 14555694 19407592 29111388 38815184 58222776 77630368 116445552 232891104