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22326711763225 = 52292325872
BaseRepresentation
bin1010001001110010101111…
…01110010100000100011001
32221001102010221010112212211
411010321113232110010121
510411300101202410400
6115252425542035121
74463023505501122
oct504712756240431
987042127115784
1022326711763225
1171287838091a1
122607096718aa1
13c5c527717a5c
145728936a1049
1528ab8061ddba
hex144e57b94119

22326711763225 has 27 divisors (see below), whose sum is σ = 28673581184157. Its totient is φ = 17244930907680.

The previous prime is 22326711763117. The next prime is 22326711763271. The reversal of 22326711763225 is 52236711762322.

The square root of 22326711763225 is 4725115.

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 306892732441 + 22019819030784 = 553979^2 + 4692528^2 .

It is not a de Polignac number, because 22326711763225 - 233 = 22318121828633 is a prime.

It is a super-3 number, since 3×223267117632253 (a number of 41 digits) contains 333 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, 685125382 + ... + 685157968.

Almost surely, 222326711763225 is an apocalyptic number.

22326711763225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22326711763225 is the 4725115-th square number.

22326711763225 is the 2362558-th centered octagonal number.

It is an amenable number.

22326711763225 is a deficient number, since it is larger than the sum of its proper divisors (6346869420932).

22326711763225 is an frugal number, since it uses more digits than its factorization.

22326711763225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65242 (or 32621 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The spelling of 22326711763225 in words is "twenty-two trillion, three hundred twenty-six billion, seven hundred eleven million, seven hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 4205 21025 32587 162935 814675 945023 4725115 23625575 27405667 137028335 685141675 1061912569 5309562845 26547814225 30795464501 153977322505 769886612525 893068470529 4465342352645 22326711763225