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22826677225 = 52112412672
BaseRepresentation
bin10101010000100100…
…110111001111101001
32011220211102100102211
4111100210313033221
5333222112132400
614253022525121
71435444361242
oct252044671751
964824370384
1022826677225
119754078500
1245107367a1
1321ca1b5601
141167891cc9
158d8ec4dba
hex5509373e9

22826677225 has 81 divisors (see below), whose sum is σ = 32372604453. Its totient is φ = 15954576000.

The previous prime is 22826677217. The next prime is 22826677231. The reversal of 22826677225 is 52277662822.

The square root of 22826677225 is 151085.

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 9608116441 + 13218560784 = 98021^2 + 114972^2 .

It is not a de Polignac number, because 22826677225 - 23 = 22826677217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 340696642 + ... + 340696708.

Almost surely, 222826677225 is an apocalyptic number.

22826677225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22826677225 is the 151085-th square number.

22826677225 is the 75543-rd centered octagonal number.

It is an amenable number.

22826677225 is a deficient number, since it is larger than the sum of its proper divisors (9545927228).

22826677225 is an equidigital number, since it uses as much as digits as its factorization.

22826677225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 49.

Multiplying 22826677225 by its sum of digits (49), we get a square (1118507184025 = 10575952).

The spelling of 22826677225 in words is "twenty-two billion, eight hundred twenty-six million, six hundred seventy-seven thousand, two hundred twenty-five".

Divisors: 1 5 11 25 41 55 67 121 205 275 335 451 605 737 1025 1675 1681 2255 2747 3025 3685 4489 4961 8107 8405 11275 13735 18425 18491 22445 24805 30217 40535 42025 49379 68675 92455 112225 112627 124025 151085 184049 202675 203401 246895 332387 462275 543169 563135 755425 920245 1017005 1234475 1238897 1661935 2024539 2715845 2815675 4601225 5085025 6194485 7546009 8309675 10122695 13579225 13627867 22269929 30972425 37730045 50613475 68139335 83006099 111349645 188650225 340696675 415030495 556748225 913067089 2075152475 4565335445 22826677225