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22240198960 = 2457113351457
BaseRepresentation
bin10100101101100111…
…101000000100110000
32010101221212011111121
4110231213220010300
5331021442331320
614114512352024
71415063400130
oct245547500460
963357764447
1022240198960
119483015721
124388245614
132135842555
14110da28ac0
158a27788aa
hex52d9e8130

22240198960 has 80 divisors (see below), whose sum is σ = 59618523456. Its totient is φ = 7557709824.

The previous prime is 22240198951. The next prime is 22240198993. The reversal of 22240198960 is 6989104222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112449 + ... + 239008.

Almost surely, 222240198960 is an apocalyptic number.

22240198960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22240198960 is an abundant number, since it is smaller than the sum of its proper divisors (37378324496).

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

22240198960 is a wasteful number, since it uses less digits than its factorization.

22240198960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351590 (or 351584 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 22240198960 in words is "twenty-two billion, two hundred forty million, one hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 452 560 565 791 904 1130 1582 1808 2260 3164 3955 4520 6328 7910 9040 12656 15820 31640 63280 351457 702914 1405828 1757285 2460199 2811656 3514570 4920398 5623312 7029140 9840796 12300995 14058280 19681592 24601990 28116560 39363184 39714641 49203980 79429282 98407960 158858564 196815920 198573205 278002487 317717128 397146410 556004974 635434256 794292820 1112009948 1390012435 1588585640 2224019896 2780024870 3177171280 4448039792 5560049740 11120099480 22240198960