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22330311344 = 24112931141131
BaseRepresentation
bin10100110010111111…
…011000001010110000
32010122020102100110022
4110302333120022300
5331213024430334
614131452023012
71420236341345
oct246277301260
963566370408
1022330311344
119519973470
1243b2461a68
13214b4036a3
14111b9a47cc
158aa62882e
hex532fd82b0

22330311344 has 80 divisors (see below), whose sum is σ = 50401059840. Its totient is φ = 9483936000.

The previous prime is 22330311253. The next prime is 22330311361. The reversal of 22330311344 is 44311303322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87659 + ... + 228789.

It is an arithmetic number, because the mean of its divisors is an integer number (630013248).

Almost surely, 222330311344 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 22330311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200529920).

22330311344 is an abundant number, since it is smaller than the sum of its proper divisors (28070748496).

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

22330311344 is a wasteful number, since it uses less digits than its factorization.

22330311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141210 (or 141204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 22330311344 its reverse (44311303322), we get a palindrome (66641614666).

The spelling of 22330311344 in words is "twenty-two billion, three hundred thirty million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 31 44 58 62 88 116 124 176 232 248 319 341 464 496 638 682 899 1276 1364 1798 2552 2728 3596 5104 5456 7192 9889 14384 19778 39556 79112 141131 158224 282262 564524 1129048 1552441 2258096 3104882 4092799 4375061 6209764 8185598 8750122 12419528 16371196 17500244 24839056 32742392 35000488 45020789 48125671 65484784 70000976 90041578 96251342 126876769 180083156 192502684 253753538 360166312 385005368 507507076 720332624 770010736 1015014152 1395644459 2030028304 2791288918 5582577836 11165155672 22330311344