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22157811025 = 527242532
BaseRepresentation
bin10100101000101101…
…010101110101010001
32010012012211102111121
4110220231111311101
5330334344423100
614102410442241
71413043200100
oct245055256521
963165742447
1022157811025
119440563419
124364733381
1321217572ac
141102b00037
1589a40251a
hex528b55d51

22157811025 has 27 divisors (see below), whose sum is σ = 31969028721. Its totient is φ = 15190355040.

The previous prime is 22157811019. The next prime is 22157811043. The reversal of 22157811025 is 52011875122.

The square root of 22157811025 is 148855.

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 7076006161 + 15081804864 = 84119^2 + 122808^2 .

It is not a de Polignac number, because 22157811025 - 23 = 22157811017 is a prime.

It is a super-2 number, since 2×221578110252 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5207799 + ... + 5212051.

Almost surely, 222157811025 is an apocalyptic number.

22157811025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22157811025 is the 148855-th square number.

22157811025 is the 74428-th centered octagonal number.

It is an amenable number.

22157811025 is a deficient number, since it is larger than the sum of its proper divisors (9811217696).

22157811025 is an frugal number, since it uses more digits than its factorization.

22157811025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8530 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

The spelling of 22157811025 in words is "twenty-two billion, one hundred fifty-seven million, eight hundred eleven thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 4253 21265 29771 106325 148855 208397 744275 1041985 5209925 18088009 90440045 126616063 452200225 633080315 886312441 3165401575 4431562205 22157811025