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23186152900 = 2252152272
BaseRepresentation
bin10101100110000000…
…001001110111000100
32012211212211121100201
4111212000021313010
5334441123343100
614352423420244
71450401022261
oct254600116704
965755747321
1023186152900
119918a84939
1245b0bb4684
132256808801
14119d508268
1590a83136a
hex566009dc4

23186152900 has 27 divisors (see below), whose sum is σ = 50317256269. Its totient is φ = 9273852080.

The previous prime is 23186152883. The next prime is 23186152901. The reversal of 23186152900 is 925168132.

The square root of 23186152900 is 152270.

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., 8347015044 + 14839137856 = 91362^2 + 121816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23186152900.

It is not an unprimeable number, because it can be changed into a prime (23186152901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1515087 + ... + 1530313.

Almost surely, 223186152900 is an apocalyptic number.

23186152900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23186152900 is the 152270-th square number.

It is an amenable number.

23186152900 is an abundant number, since it is smaller than the sum of its proper divisors (27131103369).

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

23186152900 is an frugal number, since it uses more digits than its factorization.

23186152900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30468 (or 15234 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 23186152900 in words is "twenty-three billion, one hundred eighty-six million, one hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15227 30454 60908 76135 152270 304540 380675 761350 1522700 231861529 463723058 927446116 1159307645 2318615290 4637230580 5796538225 11593076450 23186152900