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232910299437201 = 365652372
BaseRepresentation
bin110100111101010010100111…
…101010011001100010010001
31010112200000012020011101000000
4310331102213222121202101
5221012000243123442301
62143205303041520213
7100026133226041251
oct6475224752314221
91115600166141000
10232910299437201
1168237781089651
12221576b0043069
139cc646846a619
144172cc0a73961
151bdd7e867c786
hexd3d4a7a99891

232910299437201 has 21 divisors (see below), whose sum is σ = 349206320527851. Its totient is φ = 155273258252952.

The previous prime is 232910299437191. The next prime is 232910299437229. The reversal of 232910299437201 is 102734992019232.

The square root of 232910299437201 is 15261399.

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

232910299437201 is a `hidden beast` number, since 2 + 3 + 291 + 0 + 299 + 43 + 7 + 20 + 1 = 666.

232910299437201 is digitally balanced in base 2, 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 only one way, i.e., 10771425540225 + 222138873896976 = 3281985^2 + 14904324^2 .

It is a de Polignac number, because none of the positive numbers 2k-232910299437201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232910299437251) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 411775155 + ... + 412340391.

Almost surely, 2232910299437201 is an apocalyptic number.

232910299437201 is the 15261399-th square number.

232910299437201 is the 7630700-th centered octagonal number.

It is an amenable number.

232910299437201 is a deficient number, since it is larger than the sum of its proper divisors (116296021090650).

232910299437201 is an frugal number, since it uses more digits than its factorization.

232910299437201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130492 (or 565240 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 232910299437201 in words is "two hundred thirty-two trillion, nine hundred ten billion, two hundred ninety-nine million, four hundred thirty-seven thousand, two hundred one".

Divisors: 1 3 9 27 81 243 729 565237 1695711 5087133 15261399 45784197 137352591 412057773 319492866169 958478598507 2875435795521 8626307386563 25878922159689 77636766479067 232910299437201