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235306432225 = 5273323815393
BaseRepresentation
bin1101101100100101011…
…0110011011011100001
3211111100220120021102101
43123021112303123201
512323401421312400
6300033121250401
723000053446514
oct3331126633341
9744326507371
10235306432225
119087a38a307
123972b793a01
131925cb835a7
14b563196d7b
1561c2d8456a
hex36c95b36e1

235306432225 has 24 divisors (see below), whose sum is σ = 292354951032. Its totient is φ = 187874534400.

The previous prime is 235306432223. The next prime is 235306432241. The reversal of 235306432225 is 522234603532.

It can be written as a sum of positive squares in 12 ways, for example, as 21965907681 + 213340524544 = 148209^2 + 461888^2 .

It is not a de Polignac number, because 235306432225 - 21 = 235306432223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (235306432223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43629129 + ... + 43634521.

It is an arithmetic number, because the mean of its divisors is an integer number (12181456293).

Almost surely, 2235306432225 is an apocalyptic number.

235306432225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

235306432225 is a deficient number, since it is larger than the sum of its proper divisors (57048518807).

235306432225 is a wasteful number, since it uses less digits than its factorization.

235306432225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

The spelling of 235306432225 in words is "two hundred thirty-five billion, three hundred six million, four hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 733 2381 3665 5393 11905 18325 26965 59525 134825 1745273 3953069 8726365 12840733 19765345 43631825 64203665 98826725 321018325 9412257289 47061286445 235306432225