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233413004112 = 243367101913003
BaseRepresentation
bin1101100101100001111…
…1111100101101010000
3211022110221202011100020
43121120133330231100
512311012212112422
6255121202423440
722602122541111
oct3313037745520
9738427664306
10233413004112
118aa98612792
12392a1661b80
131901a811122
14b423920208
156111a2395c
hex36587fcb50

233413004112 has 80 divisors (see below), whose sum is σ = 605266498560. Its totient is φ = 77510226816.

The previous prime is 233413004101. The next prime is 233413004161. The reversal of 233413004112 is 211400314332.

It is a happy number.

233413004112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 17944203 + ... + 17957205.

It is an arithmetic number, because the mean of its divisors is an integer number (7565831232).

Almost surely, 2233413004112 is an apocalyptic number.

It is an amenable number.

233413004112 is an abundant number, since it is smaller than the sum of its proper divisors (371853494448).

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

233413004112 is a wasteful number, since it uses less digits than its factorization.

233413004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14400 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233413004112 its reverse (211400314332), we get a palindrome (444813318444).

The spelling of 233413004112 in words is "two hundred thirty-three billion, four hundred thirteen million, four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 367 734 1019 1101 1468 2038 2202 2936 3057 4076 4404 5872 6114 8152 8808 12228 13003 16304 17616 24456 26006 39009 48912 52012 78018 104024 156036 208048 312072 373973 624144 747946 1121919 1495892 2243838 2991784 4487676 4772101 5983568 8975352 9544202 13250057 14316303 17950704 19088404 26500114 28632606 38176808 39750171 53000228 57265212 76353616 79500342 106000456 114530424 159000684 212000912 229060848 318001368 636002736 4862770919 9725541838 14588312757 19451083676 29176625514 38902167352 58353251028 77804334704 116706502056 233413004112