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22256164225 = 52298372
BaseRepresentation
bin10100101110100100…
…100001110110000001
32010110001220021201201
4110232210201312001
5331040034223400
614120242501201
71415346163111
oct245644416601
963401807651
1022256164225
11949102a659
124391664801
132138c42359
141111bc3041
158a3d7e06a
hex52e921d81

22256164225 has 9 divisors (see below), whose sum is σ = 27598568617. Its totient is φ = 17804334640.

The previous prime is 22256164213. The next prime is 22256164253. The reversal of 22256164225 is 52246165222.

The square root of 22256164225 is 149185.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9726496129 + 12529668096 = 98623^2 + 111936^2 .

It is not a de Polignac number, because 22256164225 - 211 = 22256162177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 731007 + ... + 760843.

Almost surely, 222256164225 is an apocalyptic number.

22256164225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22256164225 is the 149185-th square number.

22256164225 is the 74593-rd centered octagonal number.

It is an amenable number.

22256164225 is a deficient number, since it is larger than the sum of its proper divisors (5342404392).

22256164225 is an frugal number, since it uses more digits than its factorization.

22256164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59684 (or 29842 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The spelling of 22256164225 in words is "twenty-two billion, two hundred fifty-six million, one hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 29837 149185 745925 890246569 4451232845 22256164225