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22831191328 = 2511149643677
BaseRepresentation
bin10101010000110110…
…000101010100100000
32011221010220200121211
4111100312011110200
5333224241110303
614253303355504
71435530632011
oct252066052440
964833820554
1022831191328
119756680a70
124512152b94
1321cb10618a
141168309008
158d95b766d
hex550d85520

22831191328 has 96 divisors (see below), whose sum is σ = 49514068800. Its totient is φ = 10276930560.

The previous prime is 22831191323. The next prime is 22831191337. The reversal of 22831191328 is 82319113822.

It is not an unprimeable number, because it can be changed into a prime (22831191323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33723726 + ... + 33724402.

It is an arithmetic number, because the mean of its divisors is an integer number (515771550).

Almost surely, 222831191328 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 22831191328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24757034400).

22831191328 is an abundant number, since it is smaller than the sum of its proper divisors (26682877472).

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

22831191328 is a wasteful number, since it uses less digits than its factorization.

22831191328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The spelling of 22831191328 in words is "twenty-two billion, eight hundred thirty-one million, one hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 643 677 1192 1286 1354 1639 2384 2572 2708 3278 4768 5144 5416 6556 7073 7447 10288 10832 13112 14146 14894 20576 21664 26224 28292 29788 52448 56584 59576 95807 100873 113168 119152 191614 201746 226336 238304 383228 403492 435311 766456 806984 870622 1053877 1109603 1532912 1613968 1741244 2107754 2219206 3065824 3227936 3482488 4215508 4438412 4788421 6964976 8431016 8876824 9576842 13929952 16862032 17753648 19153684 33724064 35507296 38307368 64861339 76614736 129722678 153229472 259445356 518890712 713474729 1037781424 1426949458 2075562848 2853898916 5707797832 11415595664 22831191328