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232053920 = 2557207191
BaseRepresentation
bin11011101010011…
…01110010100000
3121011122120010122
431311031302200
5433401211140
635005415412
75515266020
oct1565156240
9534576118
10232053920
11109a965aa
126586a568
13390cb117
1422b67a80
151558bab5
hexdd4dca0

232053920 has 48 divisors (see below), whose sum is σ = 626548608. Its totient is φ = 79560960.

The previous prime is 232053917. The next prime is 232053959. The reversal of 232053920 is 29350232.

232053920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 232053920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102476 + ... + 104715.

It is an arithmetic number, because the mean of its divisors is an integer number (13053096).

Almost surely, 2232053920 is an apocalyptic number.

232053920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232053920 is an abundant number, since it is smaller than the sum of its proper divisors (394494688).

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

232053920 is a wasteful number, since it uses less digits than its factorization.

232053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207213 (or 207205 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 232053920 is about 15233.3161196110. The cubic root of 232053920 is about 614.5109647036.

The spelling of 232053920 in words is "two hundred thirty-two million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 207191 414382 828764 1035955 1450337 1657528 2071910 2900674 3315056 4143820 5801348 6630112 7251685 8287640 11602696 14503370 16575280 23205392 29006740 33150560 46410784 58013480 116026960 232053920