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22205271825 = 3352112990609
BaseRepresentation
bin10100101011100010…
…011000111100010001
32010022112010200111000
4110223202120330101
5330434022144300
614111224012213
71414160460552
oct245342307421
963275120430
1022205271825
11946532a420
124378601069
13212b5339c9
141109136329
1589e679c00
hex52b898f11

22205271825 has 48 divisors (see below), whose sum is σ = 44500276800. Its totient is φ = 10766188800.

The previous prime is 22205271799. The next prime is 22205271859. The reversal of 22205271825 is 52817250222.

It is not a de Polignac number, because 22205271825 - 224 = 22188494609 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22205271825.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487880 + ... + 1502729.

It is an arithmetic number, because the mean of its divisors is an integer number (927089100).

Almost surely, 222205271825 is an apocalyptic number.

22205271825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22205271825 is an abundant number, since it is smaller than the sum of its proper divisors (22295004975).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22205271825 is a wasteful number, since it uses less digits than its factorization.

22205271825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990639 (or 2990628 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 22205271825 in words is "twenty-two billion, two hundred five million, two hundred seventy-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 2990609 8971827 14953045 26915481 32896699 44859135 74765225 80746443 98690097 134577405 164483495 224295675 296070291 403732215 493450485 672887025 822417475 888210873 1480351455 2018661075 2467252425 4441054365 7401757275 22205271825