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22443053416160 = 2551321979419401
BaseRepresentation
bin1010001101001011011100…
…01110011111111011100000
32221110112102222110212122112
411012211232032133323200
510420201333133304120
6115422110231254452
74504312533310466
oct506455616377340
987415388425575
1022443053416160
117173055622a93
12262574521a428
13c6a4a8a03500
1457836cbca836
1528dbde339bc5
hex14696e39fee0

22443053416160 has 144 divisors (see below), whose sum is σ = 57443193617040. Its totient is φ = 8282458828800.

The previous prime is 22443053416159. The next prime is 22443053416163. The reversal of 22443053416160 is 6161435034422.

It is a super-2 number, since 2×224430534161602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22443053416163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53302460 + ... + 53721860.

It is an arithmetic number, because the mean of its divisors is an integer number (398911066785).

Almost surely, 222443053416160 is an apocalyptic number.

22443053416160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22443053416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721596808520).

22443053416160 is an abundant number, since it is smaller than the sum of its proper divisors (35000140200880).

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

22443053416160 is a wasteful number, since it uses less digits than its factorization.

22443053416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421421 (or 421400 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 22443053416160 in words is "twenty-two trillion, four hundred forty-three billion, fifty-three million, four hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 1979 2080 2704 3380 3958 5408 6760 7916 9895 13520 15832 19790 25727 27040 31664 39580 51454 63328 79160 102908 128635 158320 205816 257270 316640 334451 411632 419401 514540 668902 823264 838802 1029080 1337804 1672255 1677604 2058160 2097005 2675608 3344510 3355208 4116320 4194010 5351216 5452213 6689020 6710416 8388020 10702432 10904426 13378040 13420832 16776040 21808852 26756080 27261065 33552080 43617704 53512160 54522130 67104160 70878769 87235408 109044260 141757538 174470816 218088520 283515076 354393845 436177040 567030152 708787690 829994579 872354080 1134060304 1417575380 1659989158 2268120608 2835150760 3319978316 4149972895 5670301520 6639956632 8299945790 10789929527 11340603040 13279913264 16599891580 21579859054 26559826528 33199783160 43159718108 53949647635 66399566320 86319436216 107899295270 132799132640 140269083851 172638872432 215798590540 280538167702 345277744864 431597181080 561076335404 701345419255 863194362160 1122152670808 1402690838510 1726388724320 2244305341616 2805381677020 4488610683232 5610763354040 11221526708080 22443053416160