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22434004110112 = 2571133832314097
BaseRepresentation
bin1010001100111010100101…
…10110001000101100100000
32221102200002022121111110021
411012131102312020230200
510420024320023010422
6115414012245243224
74503542351422150
oct506352266105440
987380068544407
1022434004110112
11716a231515461
122623a3a703514
13c69695c7b94a
14577b5101c760
1528d85eb6ddc7
hex146752d88b20

22434004110112 has 96 divisors (see below), whose sum is σ = 51056184840192. Its totient is φ = 9504603193344.

The previous prime is 22434004110097. The next prime is 22434004110137. The reversal of 22434004110112 is 21101140043422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8537448 + ... + 10851544.

It is an arithmetic number, because the mean of its divisors is an integer number (531835258752).

Almost surely, 222434004110112 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 22434004110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528092420096).

22434004110112 is an abundant number, since it is smaller than the sum of its proper divisors (28622180730080).

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

22434004110112 is a wasteful number, since it uses less digits than its factorization.

22434004110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314610 (or 2314602 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 22434004110112 its reverse (21101140043422), we get a palindrome (43535144153534).

The spelling of 22434004110112 in words is "twenty-two trillion, four hundred thirty-four billion, four million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 383 452 766 791 904 1532 1582 1808 2681 3064 3164 3616 5362 6128 6328 10724 12256 12656 21448 25312 42896 43279 85792 86558 173116 302953 346232 605906 692464 1211812 1384928 2314097 2423624 4628194 4847248 9256388 9694496 16198679 18512776 32397358 37025552 64794716 74051104 129589432 259178864 261492961 518357728 522985922 886299151 1045971844 1772598302 1830450727 2091943688 3545196604 3660901454 4183887376 6204094057 7090393208 7321802908 8367774752 12408188114 14180786416 14643605816 24816376228 28361572832 29287211632 49632752456 58574423264 99265504912 100151804063 198531009824 200303608126 400607216252 701062628441 801214432504 1402125256882 1602428865008 2804250513764 3204857730016 5608501027528 11217002055056 22434004110112