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22175990121321 = 32612257332
BaseRepresentation
bin1010000101011010000000…
…00000111000001101101001
32220112000002212202211102100
411002231000000320031221
510401312411432340241
6115055301554124013
74446106464620451
oct502550000701551
986460085684370
1022175990121321
11707a86a329883
1225a1a32280609
13c4b2577bc66a
14569476140d61
15286cad4e49b6
hex142b40038369

22175990121321 has 27 divisors (see below), whose sum is σ = 32566974258117. Its totient is φ = 14541067769760.

The previous prime is 22175990121269. The next prime is 22175990121359. The reversal of 22175990121321 is 12312109957122.

The square root of 22175990121321 is 4709139.

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

22175990121321 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 599 + 0 + 1 + 21 + 32 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18192229605225 + 3983760516096 = 4265235^2 + 1995936^2 .

It is not a de Polignac number, because 22175990121321 - 217 = 22175989990249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22175990121361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 861759571 + ... + 861785303.

Almost surely, 222175990121321 is an apocalyptic number.

22175990121321 is the 4709139-th square number.

22175990121321 is the 2354570-th centered octagonal number.

It is an amenable number.

22175990121321 is a deficient number, since it is larger than the sum of its proper divisors (10390984136796).

22175990121321 is an frugal number, since it uses more digits than its factorization.

22175990121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51594 (or 25797 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 22175990121321 in words is "twenty-two trillion, one hundred seventy-five billion, nine hundred ninety million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 61 183 549 3721 11163 25733 33489 77199 231597 1569713 4709139 14127417 95752493 287257479 662187289 861772437 1986561867 5959685601 40393424629 121180273887 363540821661 2463998902369 7391996707107 22175990121321