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232715025 = 36521132
BaseRepresentation
bin11011101111011…
…11001100010001
3121012220011000000
431313233030101
5434033340100
635031520213
75524021314
oct1567571421
9535804000
10232715025
1110a3a8274
1265b29069
133929ccca
1422c9a97b
151566c900
hexddef311

232715025 has 63 divisors (see below), whose sum is σ = 436514689. Its totient is φ = 123016320.

The previous prime is 232715003. The next prime is 232715027. The reversal of 232715025 is 520517232.

The square root of 232715025 is 15255.

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 118396161 + 114318864 = 10881^2 + 10692^2 .

It is not a de Polignac number, because 232715025 - 213 = 232706833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 232715025.

It is not an unprimeable number, because it can be changed into a prime (232715027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2059369 + ... + 2059481.

Almost surely, 2232715025 is an apocalyptic number.

232715025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

232715025 is the 15255-th square number.

232715025 is the 7628-th centered octagonal number.

It is an amenable number.

232715025 is a deficient number, since it is larger than the sum of its proper divisors (203799664).

232715025 is an frugal number, since it uses more digits than its factorization.

232715025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The cubic root of 232715025 is about 615.0939773103.

The spelling of 232715025 in words is "two hundred thirty-two million, seven hundred fifteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 113 135 225 243 339 405 565 675 729 1017 1215 1695 2025 2825 3051 3645 5085 6075 8475 9153 12769 15255 18225 25425 27459 38307 45765 63845 76275 82377 114921 137295 191535 228825 319225 344763 411885 574605 686475 957675 1034289 1723815 2059425 2873025 3102867 5171445 8619075 9308601 15514335 25857225 46543005 77571675 232715025