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23017441225 = 5219215972
BaseRepresentation
bin10101011011111100…
…100100011111001001
32012102010101011110011
4111123330210133021
5334114431104400
614323555351521
71443252010432
oct253374443711
965363334404
1023017441225
1198418222a9
1245645b25a1
13222a887a0c
141184d4c489
158eab078ba
hex55bf247c9

23017441225 has 27 divisors (see below), whose sum is σ = 30141754677. Its totient is φ = 17433874080.

The previous prime is 23017441219. The next prime is 23017441229. The reversal of 23017441225 is 52214471032.

It is a happy number.

The square root of 23017441225 is 151715.

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 4593179529 + 18424261696 = 67773^2 + 135736^2 .

It is not a de Polignac number, because 23017441225 - 23 = 23017441217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23017441229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14412127 + ... + 14413723.

Almost surely, 223017441225 is an apocalyptic number.

23017441225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23017441225 is the 151715-th square number.

23017441225 is the 75858-th centered octagonal number.

It is an amenable number.

23017441225 is a deficient number, since it is larger than the sum of its proper divisors (7124313452).

23017441225 is an frugal number, since it uses more digits than its factorization.

23017441225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 23017441225 in words is "twenty-three billion, seventeen million, four hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1597 1805 7985 9025 30343 39925 151715 576517 758575 2550409 2882585 12752045 14412925 48457771 63760225 242288855 920697649 1211444275 4603488245 23017441225