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232114304 = 277324841
BaseRepresentation
bin11011101010111…
…00100010000000
3121011202121222002
431311130202000
5433410124204
635011003132
75515640042
oct1565344200
9534677862
10232114304
1110a027a04
12658994a8
133911c756
1422b81a92
151559e91e
hexdd5c880

232114304 has 32 divisors (see below), whose sum is σ = 468768540. Its totient is φ = 114462720.

The previous prime is 232114303. The next prime is 232114313. The reversal of 232114304 is 403411232.

It can be written as a sum of positive squares in 2 ways, for example, as 220225600 + 11888704 = 14840^2 + 3448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (232114303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3077 + ... + 21764.

Almost surely, 2232114304 is an apocalyptic number.

It is an amenable number.

232114304 is an abundant number, since it is smaller than the sum of its proper divisors (236654236).

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

232114304 is an equidigital number, since it uses as much as digits as its factorization.

232114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24928 (or 24916 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 232114304 is about 15235.2979622979. The cubic root of 232114304 is about 614.5642618166.

Adding to 232114304 its reverse (403411232), we get a palindrome (635525536).

The spelling of 232114304 in words is "two hundred thirty-two million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 24841 49682 99364 198728 397456 794912 1589824 1813393 3179648 3626786 7253572 14507144 29014288 58028576 116057152 232114304