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233130224304 = 24334431218179
BaseRepresentation
bin1101100100011110100…
…1001110101010110000
3211021202020122110101000
43121013221032222300
512304422314134204
6255033141442000
722562120132145
oct3310751165260
9737666573330
10233130224304
118a962a3006a
1239222a10300
1318ca40623b3
14b3d81503cc
1560e6cb7039
hex3647a4eab0

233130224304 has 80 divisors (see below), whose sum is σ = 670681180800. Its totient is φ = 77534593344.

The previous prime is 233130224303. The next prime is 233130224317. The reversal of 233130224304 is 403422031332.

233130224304 is a `hidden beast` number, since 2 + 3 + 3 + 130 + 224 + 304 = 666.

233130224304 is digitally balanced in base 2, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (233130224303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417714 + ... + 800465.

It is an arithmetic number, because the mean of its divisors is an integer number (8383514760).

Almost surely, 2233130224304 is an apocalyptic number.

233130224304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233130224304 is an abundant number, since it is smaller than the sum of its proper divisors (437550956496).

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

233130224304 is a wasteful number, since it uses less digits than its factorization.

233130224304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218639 (or 1218627 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 233130224304 its reverse (403422031332), we get a palindrome (636552255636).

The spelling of 233130224304 in words is "two hundred thirty-three billion, one hundred thirty million, two hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 443 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 11961 15948 21264 23922 31896 47844 63792 95688 191376 1218179 2436358 3654537 4872716 7309074 9745432 10963611 14618148 19490864 21927222 29236296 32890833 43854444 58472592 65781666 87708888 131563332 175417776 263126664 526253328 539653297 1079306594 1618959891 2158613188 3237919782 4317226376 4856879673 6475839564 8634452752 9713759346 12951679128 14570639019 19427518692 25903358256 29141278038 38855037384 58282556076 77710074768 116565112152 233130224304