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22310022112 = 2575911314939
BaseRepresentation
bin10100110001110001…
…111110101111100000
32010120211020112212021
4110301301332233200
5331142331201422
614125445111224
71416602026150
oct246161765740
963524215767
1022310022112
119509475904
1243a76b8514
13214714b721
141119002760
158a896bdc7
hex531c7ebe0

22310022112 has 96 divisors (see below), whose sum is σ = 51503558400. Its totient is φ = 9315575808.

The previous prime is 22310022083. The next prime is 22310022113. The reversal of 22310022112 is 21122001322.

It is a happy number.

It is a super-3 number, since 3×223100221123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22310022113) by changing a digit.

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, 1485939 + ... + 1500877.

It is an arithmetic number, because the mean of its divisors is an integer number (536495400).

Almost surely, 222310022112 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 22310022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25751779200).

22310022112 is an abundant number, since it is smaller than the sum of its proper divisors (29193536288).

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

22310022112 is a wasteful number, since it uses less digits than its factorization.

22310022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128 (or 15120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22310022112 its reverse (21122001322), we get a palindrome (43432023434).

The spelling of 22310022112 in words is "twenty-two billion, three hundred ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 113 118 224 226 236 413 452 472 791 826 904 944 1582 1652 1808 1888 3164 3304 3616 6328 6608 6667 12656 13216 13334 14939 25312 26668 29878 46669 53336 59756 93338 104573 106672 119512 186676 209146 213344 239024 373352 418292 478048 746704 836584 881401 1493408 1673168 1688107 1762802 3346336 3376214 3525604 6169807 6752428 7051208 11816749 12339614 13504856 14102416 23633498 24679228 27009712 28204832 47266996 49358456 54019424 94533992 98716912 99598313 189067984 197433824 199196626 378135968 398393252 697188191 796786504 1394376382 1593573008 2788752764 3187146016 5577505528 11155011056 22310022112