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23332823332 = 2273134131907
BaseRepresentation
bin10101101110101111…
…101010000100100100
32020020002211020100221
4111232233222010210
5340241200321312
614415143214124
71454131504000
oct255657520444
966202736327
1023332823332
119993852575
124632147344
13227b010050
1411b4ba7700
15918654207
hex56ebea124

23332823332 has 96 divisors (see below), whose sum is σ = 52533331200. Its totient is φ = 9005149440.

The previous prime is 23332823321. The next prime is 23332823333.

23332823332 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23332823333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715323 + ... + 747229.

It is an arithmetic number, because the mean of its divisors is an integer number (547222200).

Almost surely, 223332823332 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 23332823332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26266665600).

23332823332 is an abundant number, since it is smaller than the sum of its proper divisors (29200507868).

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

23332823332 is a wasteful number, since it uses less digits than its factorization.

23332823332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31986 (or 31970 counting only the distinct ones).

The product of its digits is 93312, while the sum is 34.

The spelling of 23332823332 in words is "twenty-three billion, three hundred thirty-two million, eight hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 182 196 287 343 364 533 574 637 686 1066 1148 1274 1372 2009 2132 2548 3731 4018 4459 7462 8036 8918 14063 14924 17836 26117 28126 31907 52234 56252 63814 104468 127628 182819 223349 365638 414791 446698 731276 829582 893396 1308187 1563443 1659164 2616374 2903537 3126886 5232748 5807074 6253772 9157309 10944101 11614148 17006431 18314618 20324759 21888202 34012862 36629236 40649518 43776404 64101163 68025724 81299036 119045017 128202326 142273313 238090034 256404652 284546626 448708141 476180068 569093252 833315119 897416282 1666630238 1794832564 3333260476 5833205833 11666411666 23332823332