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232080384 = 2103312437
BaseRepresentation
bin11011101010101…
…00010000000000
3121011200220102210
431311110100000
5433403033014
635010142120
75515436124
oct1565242000
9534626383
10232080384
1110a004478
1265881940
133910a193
1422b73584
1515594859
hexdd54400

232080384 has 88 divisors (see below), whose sum is σ = 638795008. Its totient is φ = 74833920.

The previous prime is 232080371. The next prime is 232080389. The reversal of 232080384 is 483080232.

232080384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2320803842 = 107722609275174912, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (232080389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94014 + ... + 96450.

Almost surely, 2232080384 is an apocalyptic number.

232080384 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 232080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319397504).

232080384 is an abundant number, since it is smaller than the sum of its proper divisors (406714624).

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

232080384 is a wasteful number, since it uses less digits than its factorization.

232080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 232080384 is about 15234.1847172732. The cubic root of 232080384 is about 614.5343239297.

The spelling of 232080384 in words is "two hundred thirty-two million, eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2437 2976 3072 3968 4874 5952 7311 7936 9748 11904 14622 15872 19496 23808 29244 31744 38992 47616 58488 75547 77984 95232 116976 151094 155968 226641 233952 302188 311936 453282 467904 604376 623872 906564 935808 1208752 1247744 1813128 1871616 2417504 2495488 3626256 3743232 4835008 7252512 7486464 9670016 14505024 19340032 29010048 38680064 58020096 77360128 116040192 232080384