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230313222313032 = 23337713652982209
BaseRepresentation
bin110100010111011111111001…
…110011011001010001001000
31010012110201200110100221102010
4310113133321303121101020
5220141422434403004112
62133500233401535520
766340403231523105
oct6427377163312110
91105421613327363
10230313222313032
116742631a819131
12219b82b41a45a0
139b6859c998ba1
1440c33101cbaac
151b95e9723e63c
hexd177f9cd9448

230313222313032 has 64 divisors (see below), whose sum is σ = 599673559593600. Its totient is φ = 73644121313280.

The previous prime is 230313222313001. The next prime is 230313222313049.

230313222313032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2303132223130322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826428057 + ... + 1826554152.

It is an arithmetic number, because the mean of its divisors is an integer number (9369899368650).

Almost surely, 2230313222313032 is an apocalyptic number.

It is an amenable number.

230313222313032 is an abundant number, since it is smaller than the sum of its proper divisors (369360337280568).

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

230313222313032 is a wasteful number, since it uses less digits than its factorization.

230313222313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652982326 (or 3652982322 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 230313222313032 in words is "two hundred thirty trillion, three hundred thirteen billion, two hundred twenty-two million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 568 852 888 1704 2627 5254 7881 10508 15762 21016 31524 63048 3652982209 7305964418 10958946627 14611928836 21917893254 29223857672 43835786508 87671573016 135160341733 259361736839 270320683466 405481025199 518723473678 540641366932 778085210517 810962050398 1037446947356 1081282733864 1556170421034 1621924100796 2074893894712 3112340842068 3243848201592 6224681684136 9596384263043 19192768526086 28789152789129 38385537052172 57578305578258 76771074104344 115156611156516 230313222313032