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25276230225 = 345235332
BaseRepresentation
bin10111100010100101…
…001010101001010001
32102020112200112110000
4113202211022221101
5403231203331400
615340045200213
71553240261211
oct274245125121
972215615400
1025276230225
11a7a0855974
124a94b60069
1324ca83105c
14131ad30241
159ce088600
hex5e294aa51

25276230225 has 45 divisors (see below), whose sum is σ = 46833571873. Its totient is φ = 13476840480.

The previous prime is 25276230191. The next prime is 25276230281. The reversal of 25276230225 is 52203267252.

The square root of 25276230225 is 158985.

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

25276230225 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 623 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1022528529 + 24253701696 = 31977^2 + 155736^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-25276230225 is a prime.

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 25276230225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7152559 + ... + 7156091.

Almost surely, 225276230225 is an apocalyptic number.

25276230225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25276230225 is the 158985-th square number.

25276230225 is the 79493-rd centered octagonal number.

It is an amenable number.

25276230225 is a deficient number, since it is larger than the sum of its proper divisors (21557341648).

25276230225 is an frugal number, since it uses more digits than its factorization.

25276230225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 25276230225 by its sum of digits (36), we get a square (909944288100 = 9539102).

Adding to 25276230225 its reverse (52203267252), we get a palindrome (77479497477).

The spelling of 25276230225 in words is "twenty-five billion, two hundred seventy-six million, two hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 3533 10599 17665 31797 52995 88325 95391 158985 264975 286173 476955 794925 1430865 2384775 7154325 12482089 37446267 62410445 112338801 187231335 312052225 337016403 561694005 936156675 1011049209 1685082015 2808470025 5055246045 8425410075 25276230225