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232052240 = 2457259197
BaseRepresentation
bin11011101010011…
…01011000010000
3121011122110211102
431311031120100
5433401132430
635005403532
75515261100
oct1565153020
9534573742
10232052240
11109a95312
12658695a8
13390ca424
1422b67200
151558b345
hexdd4d610

232052240 has 60 divisors (see below), whose sum is σ = 627617196. Its totient is φ = 79559424.

The previous prime is 232052237. The next prime is 232052269. The reversal of 232052240 is 42250232.

It can be written as a sum of positive squares in 2 ways, for example, as 86415616 + 145636624 = 9296^2 + 12068^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 25679 + ... + 33518.

Almost surely, 2232052240 is an apocalyptic number.

232052240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232052240 is an abundant number, since it is smaller than the sum of its proper divisors (395564956).

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

232052240 is a wasteful number, since it uses less digits than its factorization.

232052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59224 (or 59211 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 232052240 is about 15233.2609772169. The cubic root of 232052240 is about 614.5094817423.

The spelling of 232052240 in words is "two hundred thirty-two million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 59197 118394 236788 295985 414379 473576 591970 828758 947152 1183940 1657516 2071895 2367880 2900653 3315032 4143790 4735760 5801306 6630064 8287580 11602612 14503265 16575160 23205224 29006530 33150320 46410448 58013060 116026120 232052240