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15200225225 = 522297264697
BaseRepresentation
bin11100010100000000…
…10000011111001001
31110020022220110001122
432022000100133021
5222112224201400
610552145325025
71045450532303
oct161200203711
943208813048
1015200225225
1164a0149209
122b42636775
131583181a13
14a42a64973
155de6b5685
hex38a0107c9

15200225225 has 12 divisors (see below), whose sum is σ = 18856556124. Its totient is φ = 12154840320.

The previous prime is 15200225203. The next prime is 15200225233. The reversal of 15200225225 is 52252200251.

It can be written as a sum of positive squares in 6 ways, for example, as 1776453904 + 13423771321 = 42148^2 + 115861^2 .

It is not a de Polignac number, because 15200225225 - 212 = 15200221129 is a prime.

It is a Duffinian number.

15200225225 is a modest number, since divided by 225225 gives 15200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 15200225194 and 15200225203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74924 + ... + 189773.

It is an arithmetic number, because the mean of its divisors is an integer number (1571379677).

Almost surely, 215200225225 is an apocalyptic number.

It is an amenable number.

15200225225 is a deficient number, since it is larger than the sum of its proper divisors (3656330899).

15200225225 is a wasteful number, since it uses less digits than its factorization.

15200225225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267004 (or 266999 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 15200225225 its reverse (52252200251), we get a palindrome (67452425476).

The spelling of 15200225225 in words is "fifteen billion, two hundred million, two hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 2297 11485 57425 264697 1323485 6617425 608009009 3040045045 15200225225