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231064768 = 2611595563
BaseRepresentation
bin11011100010111…
…00010011000000
3121002210022021101
431301130103000
5433123033033
634532304144
75504006134
oct1561342300
9532708241
10231064768
11109480420
1265472054
1338b42b1c
142298b3c4
151544397d
hexdc5c4c0

231064768 has 56 divisors (see below), whose sum is σ = 508772160. Its totient is φ = 103230720.

The previous prime is 231064759. The next prime is 231064819. The reversal of 231064768 is 867460132.

231064768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 38755 + ... + 44317.

Almost surely, 2231064768 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 231064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254386080).

231064768 is an abundant number, since it is smaller than the sum of its proper divisors (277707392).

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

231064768 is a wasteful number, since it uses less digits than its factorization.

231064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 231064768 is about 15200.8147150079. The cubic root of 231064768 is about 613.6365839184.

The spelling of 231064768 in words is "two hundred thirty-one million, sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 176 236 352 472 649 704 944 1298 1888 2596 3776 5192 5563 10384 11126 20768 22252 41536 44504 61193 89008 122386 178016 244772 328217 356032 489544 656434 979088 1312868 1958176 2625736 3610387 3916352 5251472 7220774 10502944 14441548 21005888 28883096 57766192 115532384 231064768