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22242150106656 = 2534132991712929
BaseRepresentation
bin1010000111010101001110…
…11101001100011000100000
32220202022212200110022110120
411003222213131030120200
510403403410411403111
6115145522552200240
74453641133332204
oct503524735143040
986668780408416
1022242150106656
1170a592a97a007
1225b2817099080
13c5456c4cc48c
1456c750b6ab04
15288881933406
hex143aa774c620

22242150106656 has 96 divisors (see below), whose sum is σ = 59827848696000. Its totient is φ = 7231022776320.

The previous prime is 22242150106613. The next prime is 22242150106669. The reversal of 22242150106656 is 65660105124222.

It is a happy number.

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

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, 12128400 + ... + 13841328.

It is an arithmetic number, because the mean of its divisors is an integer number (623206757250).

Almost surely, 222242150106656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242150106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913924348000).

22242150106656 is an abundant number, since it is smaller than the sum of its proper divisors (37585698589344).

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

22242150106656 is a wasteful number, since it uses less digits than its factorization.

22242150106656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716282 (or 1716274 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 22242150106656 in words is "twenty-two trillion, two hundred forty-two billion, one hundred fifty million, one hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3299 3936 6598 9897 13196 19794 26392 39588 52784 79176 105568 135259 158352 270518 316704 405777 541036 811554 1082072 1623108 1712929 2164144 3246216 3425858 4328288 5138787 6492432 6851716 10277574 12984864 13703432 20555148 27406864 41110296 54813728 70230089 82220592 140460178 164441184 210690267 280920356 421380534 561840712 842761068 1123681424 1685522136 2247362848 3371044272 5650952771 6742088544 11301905542 16952858313 22603811084 33905716626 45207622168 67811433252 90415244336 135622866504 180830488672 231689063611 271245733008 463378127222 542491466016 695067190833 926756254444 1390134381666 1853512508888 2780268763332 3707025017776 5560537526664 7414050035552 11121075053328 22242150106656