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22022056205656 = 23134322391924029
BaseRepresentation
bin1010000000111011010001…
…10101100101110101011000
32212222021202221221200202121
411000131220311211311120
510341302132342040111
6114500443140111024
74432020040130353
oct500355065456530
985867687850677
1022022056205656
117020557683661
122578032095474
13c39895218c70
14561c3211d29a
15282c9e395871
hex140768d65d58

22022056205656 has 128 divisors (see below), whose sum is σ = 45757426176000. Its totient is φ = 9871969540608.

The previous prime is 22022056205579. The next prime is 22022056205671. The reversal of 22022056205656 is 65650265022022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916466250 + ... + 916490278.

It is an arithmetic number, because the mean of its divisors is an integer number (357479892000).

Almost surely, 222022056205656 is an apocalyptic number.

22022056205656 is a gapful number since it is divisible by the number (26) 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 22022056205656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878713088000).

22022056205656 is an abundant number, since it is smaller than the sum of its proper divisors (23735369970344).

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

22022056205656 is a wasteful number, since it uses less digits than its factorization.

22022056205656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25233 (or 25229 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 22022056205656 in words is "twenty-two trillion, twenty-two billion, fifty-six million, two hundred five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 223 344 446 559 892 919 1118 1784 1838 2236 2899 3676 4472 5798 7352 9589 11596 11947 19178 23192 23894 24029 38356 39517 47788 48058 76712 79034 95576 96116 124657 158068 192232 204937 249314 312377 316136 409874 498628 513721 624754 819748 997256 1027442 1033247 1249508 1639496 2054884 2066494 2499016 2664181 4109768 4132988 5328362 5358467 8265976 8812291 10656724 10716934 13432211 17624582 21313448 21433868 22082651 26864422 35249164 42867736 44165302 53728844 69660071 70498328 88330604 107457688 114559783 139320142 176661208 229119566 230414081 278640284 287074463 458239132 460828162 557280568 574148926 916478264 921656324 949553993 1148297852 1843312648 1899107986 2296595704 2995383053 3798215972 4924431173 5990766106 7596431944 9848862346 11981532212 12344201909 19697724692 23963064424 24688403818 39395449384 49376807636 64017605249 98753615272 128035210498 211750540439 256070420996 423501080878 512140841992 847002161756 1694004323512 2752757025707 5505514051414 11011028102828 22022056205656