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22604130516 = 223112139111997
BaseRepresentation
bin10101000011010011…
…111010100011010100
32011100022122210202010
4111003103322203110
5332243124134031
614214552544220
71430102640102
oct250323724324
964308583663
1022604130516
11964a495900
12446a0b2070
132193065976
1411460c0c72
158c46b5246
hex5434fa8d4

22604130516 has 72 divisors (see below), whose sum is σ = 58391277280. Its totient is φ = 6800397120.

The previous prime is 22604130401. The next prime is 22604130551. The reversal of 22604130516 is 61503140622.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 145830 + ... + 257826.

Almost surely, 222604130516 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 22604130516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29195638640).

22604130516 is an abundant number, since it is smaller than the sum of its proper divisors (35787146764).

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

22604130516 is a wasteful number, since it uses less digits than its factorization.

22604130516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112165 (or 112152 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 22604130516 in words is "twenty-two billion, six hundred four million, one hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 139 242 278 363 417 484 556 726 834 1452 1529 1668 3058 4587 6116 9174 16819 18348 33638 50457 67276 100914 111997 201828 223994 335991 447988 671982 1231967 1343964 2463934 3695901 4927868 7391802 13551637 14783604 15567583 27103274 31135166 40654911 46702749 54206548 62270332 81309822 93405498 162619644 171243413 186810996 342486826 513730239 684973652 1027460478 1883677543 2054920956 3767355086 5651032629 7534710172 11302065258 22604130516