230022256800 has 576 divisors, whose sum is σ = 886167281664. Its totient is φ = 50714726400.

The previous prime is 230022256781. The next prime is 230022256817. The reversal of 230022256800 is 8652220032.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 230713902 + ... + 230714898.

It is an arithmetic number, because the mean of its divisors is an integer number (1538484864).

Almost surely, 2^230022256800 is an apocalyptic number.

230022256800 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 230022256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443083640832).

230022256800 is an abundant number, since it is smaller than the sum of its proper divisors (656145024864).

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

230022256800 is a wasteful number, since it uses less digits than its factorization.

230022256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 230022256800 its reverse (8652220032), we get a palindrome (238674476832).

The spelling of 230022256800 in words is "two hundred thirty billion, twenty-two million, two hundred fifty-six thousand, eight hundred".