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23757598225 = 5229210632
BaseRepresentation
bin10110001000000100…
…000010111000010001
32021022201010000222101
4112020010002320101
5342123421120400
614525235440401
71500510152524
oct261004027021
967281100871
1023757598225
11a0915aa1a9
124730456101
13231801723a
14121537abbb
15940aad56a
hex588102e11

23757598225 has 27 divisors (see below), whose sum is σ = 30539022033. Its totient is φ = 18333433440.

The previous prime is 23757598187. The next prime is 23757598231. The reversal of 23757598225 is 52289575732.

The square root of 23757598225 is 154135.

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 326561041 + 23431037184 = 18071^2 + 153072^2 .

It is not a de Polignac number, because 23757598225 - 27 = 23757598097 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 (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22349044 + ... + 22350106.

Almost surely, 223757598225 is an apocalyptic number.

23757598225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23757598225 is the 154135-th square number.

23757598225 is the 77068-th centered octagonal number.

It is an amenable number.

23757598225 is a deficient number, since it is larger than the sum of its proper divisors (6781423808).

23757598225 is an frugal number, since it uses more digits than its factorization.

23757598225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 1097 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 55.

The spelling of 23757598225 in words is "twenty-three billion, seven hundred fifty-seven million, five hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 1063 4205 5315 21025 26575 30827 154135 770675 893983 1129969 4469915 5649845 22349575 28249225 32769101 163845505 819227525 950303929 4751519645 23757598225