230268285000 has 640 divisors, whose sum is σ = 866760048000. Its totient is φ = 56287872000.

The previous prime is 230268284941. The next prime is 230268285001. The reversal of 230268285000 is 582862032.

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

It is not an unprimeable number, because it can be changed into a prime (230268285001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 314144634 + ... + 314145366.

It is an arithmetic number, because the mean of its divisors is an integer number (1354312575).

Almost surely, 2^230268285000 is an apocalyptic number.

230268285000 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 230268285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433380024000).

230268285000 is an abundant number, since it is smaller than the sum of its proper divisors (636491763000).

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

230268285000 is a wasteful number, since it uses less digits than its factorization.

230268285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 230268285000 in words is "two hundred thirty billion, two hundred sixty-eight million, two hundred eighty-five thousand".