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23215093225 = 523129832
BaseRepresentation
bin10101100111101110…
…100011010111101001
32012220220021221000121
4111213232203113221
5340021030440400
614355340003241
71451202015352
oct254756432751
965826257017
1023215093225
119933351165
1245ba830521
13225c7cc36c
1411a32bcd29
1590d14b21a
hex567ba35e9

23215093225 has 27 divisors (see below), whose sum is σ = 29775564759. Its totient is φ = 17954691600.

The previous prime is 23215093199. The next prime is 23215093273. The reversal of 23215093225 is 52239051232.

The square root of 23215093225 is 152365.

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., 8357433561 + 14857659664 = 91419^2 + 121892^2 .

It is not a de Polignac number, because 23215093225 - 215 = 23215060457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23616084 + ... + 23617066.

Almost surely, 223215093225 is an apocalyptic number.

23215093225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23215093225 is the 152365-th square number.

23215093225 is the 76183-rd centered octagonal number.

It is an amenable number.

23215093225 is a deficient number, since it is larger than the sum of its proper divisors (6560471534).

23215093225 is an frugal number, since it uses more digits than its factorization.

23215093225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Multiplying 23215093225 by its product of nonzero digits (32400), we get a square (752169020490000 = 274257002).

The spelling of 23215093225 in words is "twenty-three billion, two hundred fifteen million, ninety-three thousand, two hundred twenty-five".

Divisors: 1 5 25 31 155 775 961 983 4805 4915 24025 24575 30473 152365 761825 944663 966289 4723315 4831445 23616575 24157225 29954959 149774795 748873975 928603729 4643018645 23215093225