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230486122944 = 2633711171931173
BaseRepresentation
bin1101011010101000001…
…0110010000111000000
3211000220222022012012000
43112222002302013000
512234013421413234
6253514525304000
722436442501630
oct3265202620700
9730828265160
10230486122944
1189826453630
1238805405000
131897231ab8c
14b226d0c6c0
155edeac4899
hex35aa0b21c0

230486122944 has 1792 divisors, whose sum is σ = 977544806400. Its totient is φ = 51358924800.

The previous prime is 230486122907. The next prime is 230486122973. The reversal of 230486122944 is 449221684032.

230486122944 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 8 + 612 + 29 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230486122944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1332289642 + ... + 1332289814.

Almost surely, 2230486122944 is an apocalyptic number.

230486122944 is a gapful number since it is divisible by the number (24) 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 230486122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488772403200).

230486122944 is an abundant number, since it is smaller than the sum of its proper divisors (747058683456).

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

230486122944 is a wasteful number, since it uses less digits than its factorization.

230486122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 230486122944 in words is "two hundred thirty billion, four hundred eighty-six million, one hundred twenty-two thousand, nine hundred forty-four".