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2297168012832 = 253711310764071
BaseRepresentation
bin100001011011011001111…
…000100010011000100000
322010121101120220000122120
4201123121320202120200
5300114100002402312
64515145430504240
7324651651636150
oct41333170423040
98117346800576
102297168012832
11806250502220
12311258b05080
13138811746414
147d27d842760
153eb4bc3428c
hex216d9e22620

2297168012832 has 96 divisors (see below), whose sum is σ = 7518004429824. Its totient is φ = 596667014400.

The previous prime is 2297168012819. The next prime is 2297168012891. The reversal of 2297168012832 is 2382108617922.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155374644 + ... + 155389427.

It is an arithmetic number, because the mean of its divisors is an integer number (78312546144).

Almost surely, 22297168012832 is an apocalyptic number.

2297168012832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2297168012832 is an abundant number, since it is smaller than the sum of its proper divisors (5220836416992).

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

2297168012832 is a wasteful number, since it uses less digits than its factorization.

2297168012832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310764102 (or 310764094 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 2297168012832 in words is "two trillion, two hundred ninety-seven billion, one hundred sixty-eight million, twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 310764071 621528142 932292213 1243056284 1864584426 2175348497 2486112568 3418404781 3729168852 4350696994 4972225136 6526045491 6836809562 7458337704 8701393988 9944450272 10255214343 13052090982 13673619124 14916675408 17402787976 20510428686 23928833467 26104181964 27347238248 29833350816 34805575952 41020857372 47857666934 52208363928 54694476496 69611151904 71786500401 82041714744 95715333868 104416727856 109388952992 143573000802 164083429488 191430667736 208833455712 287146001604 328166858976 382861335472 574292003208 765722670944 1148584006416 2297168012832