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22344004333112 = 237111031811945649
BaseRepresentation
bin1010001010010010111100…
…11100001110111000111000
32221010001210002011010020012
411011021132130032320320
510412041010102124422
6115304405513521052
74464205154064560
oct505113634167070
987101702133205
1022344004333112
117135047a36970
12260a501a13188
13c61052207027
1457365417bda0
1528b3438384e2
hex14525e70ee38

22344004333112 has 128 divisors (see below), whose sum is σ = 53031259008000. Its totient is φ = 8573303347200.

The previous prime is 22344004333093. The next prime is 22344004333117. The reversal of 22344004333112 is 21133340044322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22344004333117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10511264 + ... + 12456912.

It is an arithmetic number, because the mean of its divisors is an integer number (414306711000).

Almost surely, 222344004333112 is an apocalyptic number.

22344004333112 is a gapful number since it is divisible by the number (22) 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 22344004333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515629504000).

22344004333112 is an abundant number, since it is smaller than the sum of its proper divisors (30687254674888).

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

22344004333112 is a wasteful number, since it uses less digits than its factorization.

22344004333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945957 (or 1945953 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 22344004333112 its reverse (21133340044322), we get a palindrome (43477344377434).

The spelling of 22344004333112 in words is "twenty-two trillion, three hundred forty-four billion, four million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 103 154 181 206 308 362 412 616 721 724 824 1133 1267 1442 1448 1991 2266 2534 2884 3982 4532 5068 5768 7931 7964 9064 10136 13937 15862 15928 18643 27874 31724 37286 55748 63448 74572 111496 130501 149144 205073 261002 410146 522004 820292 1044008 1435511 1640584 1945649 2871022 3891298 5742044 7782596 11484088 13619543 15565192 21402139 27239086 42804278 54478172 85608556 108956344 149814973 171217112 200401847 299629946 352162469 400803694 599259892 704324938 801607388 1198519784 1402812929 1408649876 1603214776 2204420317 2465137283 2805625858 2817299752 3873787159 4408840634 4930274566 5611251716 7747574318 8817681268 9860549132 11222503432 15430942219 15495148636 17635362536 19721098264 27116510113 30861884438 30990297272 36272734307 54233020226 61723768876 72545468614 108466040452 123447537752 145090937228 216932080904 253909140149 290181874456 399000077377 507818280298 798000154754 1015636560596 1596000309508 2031273121192 2793000541639 3192000619016 5586001083278 11172002166556 22344004333112