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231011456 = 2713138829
BaseRepresentation
bin11011100010011…
…11010010000000
3121002200121010212
431301033102000
5433114331311
634531213252
75503364534
oct1561172200
9532617125
10231011456
11109444365
1265447228
1338b24790
1422975bc4
1515432c8b
hexdc4f480

231011456 has 32 divisors (see below), whose sum is σ = 495623100. Its totient is φ = 106619904.

The previous prime is 231011449. The next prime is 231011479. The reversal of 231011456 is 654110132.

231011456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 212693056 + 18318400 = 14584^2 + 4280^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67751 + ... + 71078.

Almost surely, 2231011456 is an apocalyptic number.

231011456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

231011456 is an abundant number, since it is smaller than the sum of its proper divisors (264611644).

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

231011456 is a wasteful number, since it uses less digits than its factorization.

231011456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138856 (or 138844 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 231011456 is about 15199.0610236291. The cubic root of 231011456 is about 613.5893868921.

Adding to 231011456 its reverse (654110132), we get a palindrome (885121588).

The spelling of 231011456 in words is "two hundred thirty-one million, eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 138829 277658 555316 1110632 1804777 2221264 3609554 4442528 7219108 8885056 14438216 17770112 28876432 57752864 115505728 231011456