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231259968 = 2633133831
BaseRepresentation
bin11011100100010…
…11111101000000
3121010011020001000
431302023331000
5433200304333
634540412000
75505451212
oct1562137500
9533136030
10231259968
111095a4045
1265547000
1338bb0924
14229dc5b2
1515481713
hexdc8bf40

231259968 has 56 divisors (see below), whose sum is σ = 679866560. Its totient is φ = 77086080.

The previous prime is 231259957. The next prime is 231259979. The reversal of 231259968 is 869952132.

231259968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231259957) and next prime (231259979).

It is a super-2 number, since 2×2312599682 = 106962345598722048, which contains 22 as substring.

It is a congruent number.

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, 65188 + ... + 68643.

Almost surely, 2231259968 is an apocalyptic number.

It is an amenable number.

231259968 is an abundant number, since it is smaller than the sum of its proper divisors (448606592).

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

231259968 is a wasteful number, since it uses less digits than its factorization.

231259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133852 (or 133836 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 231259968 is about 15207.2340680349. The cubic root of 231259968 is about 613.8093322321.

The spelling of 231259968 in words is "two hundred thirty-one million, two hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 133831 267662 401493 535324 802986 1070648 1204479 1605972 2141296 2408958 3211944 3613437 4282592 4817916 6423888 7226874 8565184 9635832 12847776 14453748 19271664 25695552 28907496 38543328 57814992 77086656 115629984 231259968