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22435546225 = 5229210332
BaseRepresentation
bin10100111001010000…
…110100010001110001
32010220120102211120111
4110321100310101301
5331421444434400
614150131341321
71422654665521
oct247120642161
963816384514
1022435546225
11957330aa44
124421751841
13216715ab51
14112b959681
158b49b43ba
hex539434471

22435546225 has 27 divisors (see below), whose sum is σ = 28840389123. Its totient is φ = 17312749440.

The previous prime is 22435546219. The next prime is 22435546247. The reversal of 22435546225 is 52264553422.

The square root of 22435546225 is 149785.

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 2016279409 + 20419266816 = 44903^2 + 142896^2 .

It is not a de Polignac number, because 22435546225 - 217 = 22435415153 is a prime.

It is a super-2 number, since 2×224355462252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21718309 + ... + 21719341.

Almost surely, 222435546225 is an apocalyptic number.

22435546225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22435546225 is the 149785-th square number.

22435546225 is the 74893-rd centered octagonal number.

It is an amenable number.

22435546225 is a deficient number, since it is larger than the sum of its proper divisors (6404842898).

22435546225 is an frugal number, since it uses more digits than its factorization.

22435546225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 1067 counting only the distinct ones).

The product of its digits is 576000, while the sum is 40.

The spelling of 22435546225 in words is "twenty-two billion, four hundred thirty-five million, five hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 1033 4205 5165 21025 25825 29957 149785 748925 868753 1067089 4343765 5335445 21718825 26677225 30945581 154727905 773639525 897421849 4487109245 22435546225