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230132313200 = 2452575330783
BaseRepresentation
bin1101011001010011110…
…1000110110001110000
3211000000022112210110102
43112110331012301300
512232302333010300
6253415450051532
722424615246426
oct3262475066160
9730008483412
10230132313200
1189664767089
1238726a19ba8
1318916c2c8ba
14b1d1d2d116
155ebd9d70d5
hex3594f46c70

230132313200 has 30 divisors (see below), whose sum is σ = 552892883424. Its totient is φ = 92052925120.

The previous prime is 230132313167. The next prime is 230132313269. The reversal of 230132313200 is 2313231032.

230132313200 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 (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 287664992 + ... + 287665791.

Almost surely, 2230132313200 is an apocalyptic number.

230132313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230132313200 is an abundant number, since it is smaller than the sum of its proper divisors (322760570224).

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

230132313200 is a wasteful number, since it uses less digits than its factorization.

230132313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575330801 (or 575330790 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 230132313200 its reverse (2313231032), we get a palindrome (232445544232).

The spelling of 230132313200 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 575330783 1150661566 2301323132 2876653915 4602646264 5753307830 9205292528 11506615660 14383269575 23013231320 28766539150 46026462640 57533078300 115066156600 230132313200