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233243323342332 = 223239322146495431
BaseRepresentation
bin110101000010001000110001…
…011011110001110111111100
31010120211211210020101121010120
4311002020301123301313330
5221032424311233423312
62144022300431534540
7100062162662400462
oct6502106133616774
91116754706347116
10233243323342332
1168355a35427626
12221b015108a450
13a01b99bc955a4
144185073a8a832
151be72da17c28c
hexd422316f1dfc

233243323342332 has 96 divisors (see below), whose sum is σ = 546899496192000. Its totient is φ = 77367536601600.

The previous prime is 233243323342313. The next prime is 233243323342343.

233243323342332 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42946659657 + ... + 42946665087.

It is an arithmetic number, because the mean of its divisors is an integer number (5696869752000).

Almost surely, 2233243323342332 is an apocalyptic number.

It is an amenable number.

233243323342332 is an abundant number, since it is smaller than the sum of its proper divisors (313656172849668).

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

233243323342332 is a wasteful number, since it uses less digits than its factorization.

233243323342332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13547 (or 13545 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 42.

The spelling of 233243323342332 in words is "two hundred thirty-three trillion, two hundred forty-three billion, three hundred twenty-three million, three hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 239 478 717 956 1434 2868 3221 4649 5431 6442 9298 9663 10862 12884 13947 16293 18596 19326 21724 27894 32586 38652 55788 65172 769819 1111111 1298009 1539638 2222222 2309457 2596018 3079276 3333333 3894027 4444444 4618914 5192036 6666666 7788054 9237828 13333332 14974429 15576108 17493251 25248719 29948858 34986502 44923287 50497438 52479753 59897716 69973004 75746157 89846574 100994876 104959506 151492314 179693148 209919012 302984628 3578888531 4180886989 6034443841 7157777062 8361773978 10736665593 12068887682 12542660967 14315554124 16723547956 18103331523 21473331186 24137775364 25085321934 36206663046 42946662372 50170643868 72413326092 81326123899 162652247798 243978371697 325304495596 487956743394 975913486788 19436943611861 38873887223722 58310830835583 77747774447444 116621661671166 233243323342332