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232232429025 = 3452107092
BaseRepresentation
bin1101100001001000100…
…0011010010111100001
3211012102200021201210000
43120102020122113201
512301103000212100
6254404110530213
722530636035202
oct3302210322741
9735380251700
10232232429025
118a5421741a3
1239012206969
1318b9005b39c
14b350c095a9
156093073900
hex361221a5e1

232232429025 has 45 divisors (see below), whose sum is σ = 430214909641. Its totient is φ = 123845729760.

The previous prime is 232232428993. The next prime is 232232429029. The reversal of 232232429025 is 520924232232.

The square root of 232232429025 is 481905.

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

232232429025 is a `hidden beast` number, since 2 + 3 + 22 + 324 + 290 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43925033889 + 188307395136 = 209583^2 + 433944^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 232232429025 - 25 = 232232428993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232232429029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21680371 + ... + 21691079.

Almost surely, 2232232429025 is an apocalyptic number.

232232429025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

232232429025 is the 481905-th square number.

232232429025 is the 240953-rd centered octagonal number.

It is an amenable number.

232232429025 is a deficient number, since it is larger than the sum of its proper divisors (197982480616).

232232429025 is an frugal number, since it uses more digits than its factorization.

232232429025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21440 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 232232429025 by its sum of digits (36), we get a square (8360367444900 = 28914302).

The spelling of 232232429025 in words is "two hundred thirty-two billion, two hundred thirty-two million, four hundred twenty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 10709 32127 53545 96381 160635 267725 289143 481905 803175 867429 1445715 2409525 4337145 7228575 21685725 114682681 344048043 573413405 1032144129 1720240215 2867067025 3096432387 5160720645 8601201075 9289297161 15482161935 25803603225 46446485805 77410809675 232232429025