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22456521025 = 52172412432
BaseRepresentation
bin10100111010100000…
…110101000101000001
32010222000220110120221
4110322200311011001
5331442332133100
614152201103041
71423331164531
oct247240650501
963860813527
1022456521025
119584136694
124428787a81
13216b5c2b83
1411306594c1
158b675901a
hex53a835141

22456521025 has 81 divisors (see below), whose sum is σ = 31041018363. Its totient is φ = 16112409600.

The previous prime is 22456521023. The next prime is 22456521067. The reversal of 22456521025 is 52012565422.

The square root of 22456521025 is 149855.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19446023601 + 3010497424 = 139449^2 + 54868^2 .

It is not a de Polignac number, because 22456521025 - 21 = 22456521023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22456521023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 522244654 + ... + 522244696.

Almost surely, 222456521025 is an apocalyptic number.

22456521025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22456521025 is the 149855-th square number.

22456521025 is the 74928-th centered octagonal number.

It is an amenable number.

22456521025 is a deficient number, since it is larger than the sum of its proper divisors (8584497338).

22456521025 is an equidigital number, since it uses as much as digits as its factorization.

22456521025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 22456521025 in words is "twenty-two billion, four hundred fifty-six million, five hundred twenty-one thousand, twenty-five".

Divisors: 1 5 17 25 41 43 85 205 215 289 425 697 731 1025 1075 1445 1681 1763 1849 3485 3655 7225 8405 8815 9245 11849 12427 17425 18275 28577 29971 31433 42025 44075 46225 59245 62135 72283 75809 142885 149855 157165 296225 310675 361415 379045 485809 509507 534361 714425 749275 785825 1228811 1288753 1807075 1895225 2429045 2547535 2671805 3108169 6144055 6443765 12145225 12737675 13359025 15540845 20889787 21908801 30720275 32218825 52838873 77704225 104448935 109544005 264194365 522244675 547720025 898260841 1320971825 4491304205 22456521025