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230093660160 = 213325713193
BaseRepresentation
bin1101011001001010100…
…1101010000000000000
3210222220121211000110100
43112102221222000000
512232212434111120
6253411545402400
722423635561360
oct3262251520000
9728817730410
10230093660160
1189644966521
1238715a99400
131890bc18190
14b1cab4a9a0
155eba3ee490
hex3592a6a000

230093660160 has 1344 divisors, whose sum is σ = 1036202469120. Its totient is φ = 45992116224.

The previous prime is 230093660119. The next prime is 230093660191. The reversal of 230093660160 is 61066390032.

230093660160 is a `hidden beast` number, since 230 + 0 + 9 + 366 + 0 + 1 + 60 = 666.

230093660160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 230093660160 = 15883 + 60923 = 33443 + 57763.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9880 × 9576 × 2432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12110192631 + ... + 12110192649.

It is an arithmetic number, because the mean of its divisors is an integer number (770983980).

Almost surely, 2230093660160 is an apocalyptic number.

230093660160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230093660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518101234560).

230093660160 is an abundant number, since it is smaller than the sum of its proper divisors (806108808960).

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

230093660160 is an equidigital number, since it uses as much as digits as its factorization.

230093660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 230093660160 in words is "two hundred thirty billion, ninety-three million, six hundred sixty thousand, one hundred sixty".