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230133332304 = 24333714397731
BaseRepresentation
bin1101011001010100000…
…0111111100101010000
3211000000101110120102000
43112111000333211100
512232303113113204
6253415523554000
722424630022531
oct3262500774520
9730011416360
10230133332304
11896652a2817
123872722b900
13189171c8715
14b1d2116688
155ebdb39039
hex359503f950

230133332304 has 80 divisors (see below), whose sum is σ = 678421131840. Its totient is φ = 74637832320.

The previous prime is 230133332287. The next prime is 230133332417. The reversal of 230133332304 is 403233331032.

It is a happy number.

230133332304 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 333 + 323 + 0 + 4 = 666.

It is a super-2 number, since 2×2301333323042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 7182882 + ... + 7214849.

It is an arithmetic number, because the mean of its divisors is an integer number (8480264148).

Almost surely, 2230133332304 is an apocalyptic number.

230133332304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230133332304 is an abundant number, since it is smaller than the sum of its proper divisors (448287799536).

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

230133332304 is a wasteful number, since it uses less digits than its factorization.

230133332304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14397785 (or 14397773 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 230133332304 its reverse (403233331032), we get a palindrome (633366663336).

The spelling of 230133332304 in words is "two hundred thirty billion, one hundred thirty-three million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 15984 14397731 28795462 43193193 57590924 86386386 115181848 129579579 172772772 230363696 259159158 345545544 388738737 518318316 532716047 691091088 777477474 1036636632 1065432094 1554954948 1598148141 2073273264 2130864188 3109909896 3196296282 4261728376 4794444423 6219819792 6392592564 8523456752 9588888846 12785185128 14383333269 19177777692 25570370256 28766666538 38355555384 57533333076 76711110768 115066666152 230133332304