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22225741632 = 26344287373
BaseRepresentation
bin10100101100110000…
…011110011101000000
32010100221122122210000
4110230300132131000
5331004242213012
614113234440000
71414526454363
oct245460363500
963327578700
1022225741632
119475940716
124383433000
13213284cc13
14110bb440da
158a136eddc
hex52cc1e740

22225741632 has 70 divisors (see below), whose sum is σ = 65884076258. Its totient is φ = 7408578816.

The previous prime is 22225741589. The next prime is 22225741633. The reversal of 22225741632 is 23614752222.

22225741632 is a `hidden beast` number, since 2 + 2 + 22 + 574 + 1 + 63 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22148582976 + 77158656 = 148824^2 + 8784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22225741633) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2138503 + ... + 2148870.

Almost surely, 222225741632 is an apocalyptic number.

It is an amenable number.

22225741632 is an abundant number, since it is smaller than the sum of its proper divisors (43658334626).

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

22225741632 is an equidigital number, since it uses as much as digits as its factorization.

22225741632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287397 (or 4287378 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 22225741632 in words is "twenty-two billion, two hundred twenty-five million, seven hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 4287373 8574746 12862119 17149492 25724238 34298984 38586357 51448476 68597968 77172714 102896952 115759071 137195936 154345428 205793904 231518142 274391872 308690856 347277213 411587808 463036284 617381712 694554426 823175616 926072568 1234763424 1389108852 1852145136 2469526848 2778217704 3704290272 5556435408 7408580544 11112870816 22225741632