230330023002000 has 240 divisors, whose sum is σ = 830416511608320. Its totient is φ = 59440005792000.

The previous prime is 230330023001983. The next prime is 230330023002029. The reversal of 230330023002000 is 200320033032.

230330023002000 is a `hidden beast` number, since 2 + 30 + 330 + 0 + 2 + 300 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×230330023002000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205830910 + ... + 206946909.

It is an arithmetic number, because the mean of its divisors is an integer number (3460068798368).

Almost surely, 2^{230330023002000} is an apocalyptic number.

230330023002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230330023002000 is an abundant number, since it is smaller than the sum of its proper divisors (600086488606320).

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

230330023002000 is a wasteful number, since it uses less digits than its factorization.

230330023002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412777879 (or 412777860 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 230330023002000 its reverse (200320033032), we get a palindrome (230530343035032).

The spelling of 230330023002000 in words is "two hundred thirty trillion, three hundred thirty billion, twenty-three million, two thousand".