230033000 has 64 divisors (see below), whose sum is σ = 566654400. Its totient is φ = 87163200.

The previous prime is 230032991. The next prime is 230033021. The reversal of 230033000 is 330032.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12947 + ... + 25053.

It is an arithmetic number, because the mean of its divisors is an integer number (8853975).

Almost surely, 2^230033000 is an apocalyptic number.

230033000 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 230033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283327200).

230033000 is an abundant number, since it is smaller than the sum of its proper divisors (336621400).

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

230033000 is a wasteful number, since it uses less digits than its factorization.

230033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147 (or 12133 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 230033000 is about 15166.8388268617. The cubic root of 230033000 is about 612.7218688095.

Adding to 230033000 its reverse (330032), we get a palindrome (230363032).

The spelling of 230033000 in words is "two hundred thirty million, thirty-three thousand".