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232135696 = 241322932
BaseRepresentation
bin11011101011000…
…01110000010000
3121011210201022101
431311201300100
5433411320241
635011250144
75516056312
oct1565416020
9534721271
10232135696
1110a041a91
12658a9954
1339129400
1422b897b2
15155a5e31
hexdd61c10

232135696 has 45 divisors (see below), whose sum is σ = 488689239. Its totient is φ = 106773888.

The previous prime is 232135667. The next prime is 232135703. The reversal of 232135696 is 696531232.

The square root of 232135696 is 15236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 226201600 = 2436^2 + 15040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 792126 + ... + 792418.

Almost surely, 2232135696 is an apocalyptic number.

232135696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

232135696 is the 15236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232135696

232135696 is an abundant number, since it is smaller than the sum of its proper divisors (256553543).

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

232135696 is an equidigital number, since it uses as much as digits as its factorization.

232135696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 308 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The cubic root of 232135696 is about 614.5831409559.

The spelling of 232135696 in words is "two hundred thirty-two million, one hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 293 338 586 676 1172 1352 2344 2704 3809 4688 7618 15236 30472 49517 60944 85849 99034 171698 198068 343396 396136 686792 792272 1116037 1373584 2232074 4464148 8928296 14508481 17856592 29016962 58033924 116067848 232135696