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231357200 = 24524313451
BaseRepresentation
bin11011100101000…
…11101100010000
3121010100011102012
431302203230100
5433211412300
634542442052
75506334534
oct1562435420
9533304365
10231357200
111096600a8
1265593328
1338c15c69
1422a25bc4
15154a0435
hexdca3b10

231357200 has 60 divisors (see below), whose sum is σ = 568804368. Its totient is φ = 90384000.

The previous prime is 231357197. The next prime is 231357211. The reversal of 231357200 is 2753132.

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, 10475 + ... + 23925.

Almost surely, 2231357200 is an apocalyptic number.

231357200 is a gapful number since it is divisible by the number (20) 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 231357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284402184).

231357200 is an abundant number, since it is smaller than the sum of its proper divisors (337447168).

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

231357200 is a wasteful number, since it uses less digits than its factorization.

231357200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 231357200 is about 15210.4306316422. The cubic root of 231357200 is about 613.8953444476.

It can be divided in two parts, 2 and 31357200, that multiplied together give a triangular number (62714400 = T11199).

The spelling of 231357200 in words is "two hundred thirty-one million, three hundred fifty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 8600 13451 17200 26902 53804 67255 107608 134510 215216 269020 336275 538040 578393 672550 1076080 1156786 1345100 2313572 2690200 2891965 4627144 5380400 5783930 9254288 11567860 14459825 23135720 28919650 46271440 57839300 115678600 231357200