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23032615225 = 5212722392
BaseRepresentation
bin10101011100110110…
…011101000100111001
32012110011221002021011
4111130312131010321
5334132322141400
614325300513521
71443524666464
oct253466350471
965404832234
1023032615225
11984a3467a4
1245696ab8a1
132230a6b609
141186d7c2db
158ec1038ba
hex55cd9d139

23032615225 has 27 divisors (see below), whose sum is σ = 28908051087. Its totient is φ = 18204515280.

The previous prime is 23032615187. The next prime is 23032615241. The reversal of 23032615225 is 52251623032.

The square root of 23032615225 is 151765.

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

It can be written as a sum of positive squares in only one way, i.e., 8291741481 + 14740873744 = 91059^2 + 121412^2 .

It is not a de Polignac number, because 23032615225 - 227 = 22898397497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96370656 + ... + 96370894.

Almost surely, 223032615225 is an apocalyptic number.

23032615225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23032615225 is the 151765-th square number.

23032615225 is the 75883-rd centered octagonal number.

It is an amenable number.

23032615225 is a deficient number, since it is larger than the sum of its proper divisors (5875435862).

23032615225 is an frugal number, since it uses more digits than its factorization.

23032615225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 23032615225 in words is "twenty-three billion, thirty-two million, six hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 5 25 127 239 635 1195 3175 5975 16129 30353 57121 80645 151765 285605 403225 758825 1428025 3854831 7254367 19274155 36271835 96370775 181359175 921304609 4606523045 23032615225