230224512 has 128 divisors (see below), whose sum is σ = 716284800. Its totient is φ = 64143360.

The previous prime is 230224483. The next prime is 230224567. The reversal of 230224512 is 215422032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 109164 + ... + 111252.

It is an arithmetic number, because the mean of its divisors is an integer number (5595975).

Almost surely, 2^230224512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358142400).

230224512 is an abundant number, since it is smaller than the sum of its proper divisors (486060288).

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

230224512 is a wasteful number, since it uses less digits than its factorization.

230224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 230224512 is about 15173.1510240952. The cubic root of 230224512 is about 612.8918604211.

Adding to 230224512 its reverse (215422032), we get a palindrome (445646544).

The spelling of 230224512 in words is "two hundred thirty million, two hundred twenty-four thousand, five hundred twelve".