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22203382445664 = 253790133665899
BaseRepresentation
bin1010000110001101000001…
…01110010011011001100000
32220121121210220021002021120
411003012200232103121200
510402240011401230124
6115120032034452240
74451066341546410
oct503064056233140
986547726232246
1022203382445664
117090446605562
1225a71b7a34080
13c50a01854bc4
1456a91410a640
15287863223d79
hex1431a0b93660

22203382445664 has 96 divisors (see below), whose sum is σ = 66617555961600. Its totient is φ = 6343117972992.

The previous prime is 22203382445609. The next prime is 22203382445701. The reversal of 22203382445664 is 46654428330222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 4223787 + ... + 7889685.

It is an arithmetic number, because the mean of its divisors is an integer number (693932874600).

Almost surely, 222203382445664 is an apocalyptic number.

22203382445664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22203382445664 is an abundant number, since it is smaller than the sum of its proper divisors (44414173515936).

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

22203382445664 is a wasteful number, since it uses less digits than its factorization.

22203382445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674932 (or 3674924 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 51.

The spelling of 22203382445664 in words is "twenty-two trillion, two hundred three billion, three hundred eighty-two million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 9013 18026 27039 36052 54078 63091 72104 108156 126182 144208 189273 216312 252364 288416 378546 432624 504728 757092 865248 1009456 1514184 2018912 3028368 3665899 6056736 7331798 10997697 14663596 21995394 25661293 29327192 43990788 51322586 58654384 76983879 87981576 102645172 117308768 153967758 175963152 205290344 307935516 351926304 410580688 615871032 821161376 1231742064 2463484128 33040747687 66081495374 99122243061 132162990748 198244486122 231285233809 264325981496 396488972244 462570467618 528651962992 693855701427 792977944488 925140935236 1057303925984 1387711402854 1585955888976 1850281870472 2775422805708 3171911777952 3700563740944 5550845611416 7401127481888 11101691222832 22203382445664