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22089390625 = 56292412
BaseRepresentation
bin10100100100101000…
…010101101000100001
32010000110002022100201
4110210220111220201
5330214341000000
614051524145201
71411252502521
oct244450255041
963013068321
1022089390625
119405981135
124345838201
13211051c753
1410d79ad681
158943d996a
hex524a15a21

22089390625 has 63 divisors (see below), whose sum is σ = 29310816223. Its totient is φ = 16646000000.

The previous prime is 22089390571. The next prime is 22089390641. The reversal of 22089390625 is 52609398022.

The square root of 22089390625 is 148625.

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

It can be written as a sum of positive squares in 31 ways, for example, as 707932449 + 21381458176 = 26607^2 + 146224^2 .

It is not a de Polignac number, because 22089390625 - 27 = 22089390497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 538765605 + ... + 538765645.

Almost surely, 222089390625 is an apocalyptic number.

22089390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22089390625 is the 148625-th square number.

22089390625 is the 74313-rd centered octagonal number.

It is an amenable number.

22089390625 is a deficient number, since it is larger than the sum of its proper divisors (7221425598).

22089390625 is an frugal number, since it uses more digits than its factorization.

22089390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 22089390625 in words is "twenty-two billion, eighty-nine million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 29 41 125 145 205 625 725 841 1025 1189 1681 3125 3625 4205 5125 5945 8405 15625 18125 21025 25625 29725 34481 42025 48749 90625 105125 128125 148625 172405 210125 243745 453125 525625 640625 743125 862025 1050625 1218725 1413721 2628125 3715625 4310125 5253125 6093625 7068605 13140625 18578125 21550625 26265625 30468125 35343025 107753125 152340625 176715125 538765625 761703125 883575625 4417878125 22089390625