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23641620930225 = 32523241512
BaseRepresentation
bin1010110000000011111100…
…11010101101111010110001
310002201010011012201011100100
411120001332122231322301
511044321014424231400
6122140451040543013
74660023256136634
oct530017632557261
9102633135634310
1023641620930225
11759539a752201
122799aa3021a69
13102651a5a70ac
145ba390d87c1b
152aee8d3b5100
hex15807e6adeb1

23641620930225 has 27 divisors (see below), whose sum is σ = 42344900566059. Its totient is φ = 12608825598000.

The previous prime is 23641620930181. The next prime is 23641620930229. The reversal of 23641620930225 is 52203902614632.

The square root of 23641620930225 is 4862265.

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

23641620930225 is a `hidden beast` number, since 2 + 3 + 6 + 416 + 2 + 0 + 9 + 3 + 0 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8510983534881 + 15130637395344 = 2917359^2 + 3889812^2 .

It is not a de Polignac number, because 23641620930225 - 29 = 23641620929713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23641620930229) 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, 72771900 + ... + 73096050.

Almost surely, 223641620930225 is an apocalyptic number.

23641620930225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23641620930225 is the 4862265-th square number.

23641620930225 is the 2431133-rd centered octagonal number.

It is an amenable number.

23641620930225 is a deficient number, since it is larger than the sum of its proper divisors (18703279635834).

23641620930225 is an frugal number, since it uses more digits than its factorization.

23641620930225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648318 (or 324159 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 23641620930225 in words is "twenty-three trillion, six hundred forty-one billion, six hundred twenty million, nine hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 324151 972453 1620755 2917359 4862265 8103775 14586795 24311325 72933975 105073870801 315221612403 525369354005 945664837209 1576108062015 2626846770025 4728324186045 7880540310075 23641620930225