230112000 has 432 divisors, whose sum is σ = 895370112. Its totient is φ = 56524800.

The previous prime is 230111909. The next prime is 230112011. The reversal of 230112000 is 211032.

It is a happy number.

230112000 is digitally balanced in base 2, 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 (9).

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, 4895977 + ... + 4896023.

It is an arithmetic number, because the mean of its divisors is an integer number (2072616).

Almost surely, 2^230112000 is an apocalyptic number.

230112000 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 230112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447685056).

230112000 is an abundant number, since it is smaller than the sum of its proper divisors (665258112).

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

230112000 is a wasteful number, since it uses less digits than its factorization.

230112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 230112000 is about 15169.4429693381. The cubic root of 230112000 is about 612.7920029315.

Adding to 230112000 its reverse (211032), we get a palindrome (230323032).

The spelling of 230112000 in words is "two hundred thirty million, one hundred twelve thousand".