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232198120 = 23571175389
BaseRepresentation
bin11011101011100…
…00111111101000
3121011220212221101
431311300333220
5433420314440
635012451144
75516436310
oct1565607750
9534825841
10232198120
1110a084980
1265919ab4
133914b94b
1422ba4440
15155b969a
hexdd70fe8

232198120 has 64 divisors (see below), whose sum is σ = 651369600. Its totient is φ = 72372480.

The previous prime is 232198117. The next prime is 232198159. The reversal of 232198120 is 21891232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34615 + ... + 40774.

It is an arithmetic number, because the mean of its divisors is an integer number (10177650).

Almost surely, 2232198120 is an apocalyptic number.

232198120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232198120 is an abundant number, since it is smaller than the sum of its proper divisors (419171480).

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

232198120 is a wasteful number, since it uses less digits than its factorization.

232198120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75418 (or 75414 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 232198120 is about 15238.0484314757. The cubic root of 232198120 is about 614.6382255468.

The spelling of 232198120 in words is "two hundred thirty-two million, one hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 75389 150778 301556 376945 527723 603112 753890 829279 1055446 1507780 1658558 2110892 2638615 3015560 3317116 4146395 4221784 5277230 5804953 6634232 8292790 10554460 11609906 16585580 21108920 23219812 29024765 33171160 46439624 58049530 116099060 232198120