230320303200 has 576 divisors, whose sum is σ = 926040729600. Its totient is φ = 54863308800.

The previous prime is 230320303177. The next prime is 230320303217. The reversal of 230320303200 is 2303023032.

230320303200 is a `hidden beast` number, since 23 + 0 + 320 + 3 + 0 + 320 + 0 = 666.

It is a super-2 number, since 2×230320303200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8691571 + ... + 8718029.

It is an arithmetic number, because the mean of its divisors is an integer number (1607709600).

Almost surely, 2^230320303200 is an apocalyptic number.

230320303200 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 230320303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463020364800).

230320303200 is an abundant number, since it is smaller than the sum of its proper divisors (695720426400).

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

230320303200 is a wasteful number, since it uses less digits than its factorization.

230320303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26532 (or 26513 counting only the distinct ones).

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

Adding to 230320303200 its reverse (2303023032), we get a palindrome (232623326232).

The spelling of 230320303200 in words is "two hundred thirty billion, three hundred twenty million, three hundred three thousand, two hundred".