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22692108321 = 3214923372
BaseRepresentation
bin10101001000100011…
…100001100000100001
32011120110012112121100
4111020203201200201
5332433134431241
614231414345013
71432221511131
oct251043414041
964513175540
1022692108321
119695115933
12449365b169
1321a835a33c
141153a62ac1
158cc2929b6
hex5488e1821

22692108321 has 27 divisors (see below), whose sum is σ = 33097159641. Its totient is φ = 14981952384.

The previous prime is 22692108287. The next prime is 22692108323. The reversal of 22692108321 is 12380129622.

It is a happy number.

The square root of 22692108321 is 150639.

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

22692108321 is a `hidden beast` number, since 226 + 9 + 2 + 108 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8870814225 + 13821294096 = 94185^2 + 117564^2 .

It is not a de Polignac number, because 22692108321 - 213 = 22692100129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22692108323) 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, 67335465 + ... + 67335801.

Almost surely, 222692108321 is an apocalyptic number.

22692108321 is the 150639-th square number.

22692108321 is the 75320-th centered octagonal number.

It is an amenable number.

22692108321 is a deficient number, since it is larger than the sum of its proper divisors (10405051320).

22692108321 is an frugal number, since it uses more digits than its factorization.

22692108321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 22692108321 by its sum of digits (36), we get a square (816915899556 = 9038342).

Multiplying 22692108321 by its product of nonzero digits (20736), we get a square (470543558144256 = 216920162).

The spelling of 22692108321 in words is "twenty-two billion, six hundred ninety-two million, one hundred eight thousand, three hundred twenty-one".

Divisors: 1 3 9 149 337 447 1011 1341 3033 22201 50213 66603 113569 150639 199809 340707 451917 1022121 7481737 16921781 22445211 50765343 67335633 152296029 2521345369 7564036107 22692108321