230210311200 has 144 divisors (see below), whose sum is σ = 749607709536. Its totient is φ = 61367040000.

The previous prime is 230210311099. The next prime is 230210311217. The reversal of 230210311200 is 2113012032.

230210311200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230210311200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7186419 + ... + 7218381.

It is an arithmetic number, because the mean of its divisors is an integer number (5205609094).

Almost surely, 2^230210311200 is an apocalyptic number.

230210311200 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 230210311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374803854768).

230210311200 is an abundant number, since it is smaller than the sum of its proper divisors (519397398336).

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

230210311200 is a wasteful number, since it uses less digits than its factorization.

230210311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34987 (or 34974 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230210311200 its reverse (2113012032), we get a palindrome (232323323232).

The spelling of 230210311200 in words is "two hundred thirty billion, two hundred ten million, three hundred eleven thousand, two hundred".