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230133222312 = 23372236142783
BaseRepresentation
bin1101011001010100000…
…0100100101110101000
3211000000101020222112020
43112111000210232220
512232303101103222
6253415521344440
722424626054050
oct3262500445650
9730011228466
10230133222312
1189665228114
1238727198120
131891718a636
14b1d20c8560
155ebdb1665c
hex3595024ba8

230133222312 has 64 divisors (see below), whose sum is σ = 660472135680. Its totient is φ = 65457484992.

The previous prime is 230133222311. The next prime is 230133222317. The reversal of 230133222312 is 213222331032.

It is a super-2 number, since 2×2301332223122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230133222311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3033928 + ... + 3108855.

It is an arithmetic number, because the mean of its divisors is an integer number (10319877120).

Almost surely, 2230133222312 is an apocalyptic number.

It is an amenable number.

230133222312 is an abundant number, since it is smaller than the sum of its proper divisors (430338913368).

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

230133222312 is a wasteful number, since it uses less digits than its factorization.

230133222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143022 (or 6143018 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230133222312 its reverse (213222331032), we get a palindrome (443355553344).

The spelling of 230133222312 in words is "two hundred thirty billion, one hundred thirty-three million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1338 1561 1784 2676 3122 4683 5352 6244 9366 12488 18732 37464 6142783 12285566 18428349 24571132 36856698 42999481 49142264 73713396 85998962 128998443 147426792 171997924 257996886 343995848 515993772 1031987544 1369840609 2739681218 4109521827 5479362436 8219043654 9588884263 10958724872 16438087308 19177768526 28766652789 32876174616 38355537052 57533305578 76711074104 115066611156 230133222312