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23395232025 = 36521121032
BaseRepresentation
bin10101110010011101…
…101110100100011001
32020101110020221000000
4111302131232210121
5340403134411100
614425253003213
71455520122354
oct256235564431
966343227000
1023395232025
119a15aa9100
12464b023509
13228ac21479
1411bd1b129b
1591dd80900
hex57276e919

23395232025 has 189 divisors, whose sum is σ = 48277481007. Its totient is φ = 11233015200.

The previous prime is 23395232017. The next prime is 23395232039. The reversal of 23395232025 is 52023259332.

The square root of 23395232025 is 152955.

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., 8422283529 + 14972948496 = 91773^2 + 122364^2 .

It is not a de Polignac number, because 23395232025 - 23 = 23395232017 is a prime.

It is a Curzon 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 188 ways as a sum of consecutive naturals, for example, 227138124 + ... + 227138226.

Almost surely, 223395232025 is an apocalyptic number.

23395232025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23395232025 is the 152955-th square number.

23395232025 is the 76478-th centered octagonal number.

It is an amenable number.

23395232025 is an abundant number, since it is smaller than the sum of its proper divisors (24882248982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23395232025 is an equidigital number, since it uses as much as digits as its factorization.

23395232025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Multiplying 23395232025 by its sum of digits (36), we get a square (842228352900 = 9177302).

The spelling of 23395232025 in words is "twenty-three billion, three hundred ninety-five million, two hundred thirty-two thousand, twenty-five".