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231091968 = 2832391259
BaseRepresentation
bin11011100011000…
…10111100000000
3121002211200120210
431301202330000
5433124420333
634533034120
75504151342
oct1561427400
9532750523
10231091968
111094998a8
1265485940
1338b52313
1422997292
151544ba63
hexdc62f00

231091968 has 72 divisors (see below), whose sum is σ = 618105600. Its totient is φ = 76647424.

The previous prime is 231091961. The next prime is 231091979. The reversal of 231091968 is 869190132.

231091968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2310919682 = 106806995348226048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231091961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182923 + ... + 184181.

It is an arithmetic number, because the mean of its divisors is an integer number (8584800).

Almost surely, 2231091968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309052800).

231091968 is an abundant number, since it is smaller than the sum of its proper divisors (387013632).

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

231091968 is a wasteful number, since it uses less digits than its factorization.

231091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 231091968 is about 15201.7093775667. The cubic root of 231091968 is about 613.6606612372.

The spelling of 231091968 in words is "two hundred thirty-one million, ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 717 768 956 1259 1434 1912 2518 2868 3777 3824 5036 5736 7554 7648 10072 11472 15108 15296 20144 22944 30216 30592 40288 45888 60432 61184 80576 91776 120864 161152 183552 241728 300901 322304 483456 601802 902703 966912 1203604 1805406 2407208 3610812 4814416 7221624 9628832 14443248 19257664 28886496 38515328 57772992 77030656 115545984 231091968