230314004224 has 72 divisors (see below), whose sum is σ = 484136730000. Its totient is φ = 109048283136.

The previous prime is 230314004209. The next prime is 230314004273. The reversal of 230314004224 is 422400413032.

It is a happy number.

230314004224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12681102 + ... + 12699250.

It is an arithmetic number, because the mean of its divisors is an integer number (6724121250).

Almost surely, 2^230314004224 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 230314004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242068365000).

230314004224 is an abundant number, since it is smaller than the sum of its proper divisors (253822725776).

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

230314004224 is a wasteful number, since it uses less digits than its factorization.

230314004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20793 (or 20779 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 230314004224 its reverse (422400413032), we get a palindrome (652714417256).

The spelling of 230314004224 in words is "two hundred thirty billion, three hundred fourteen million, four thousand, two hundred twenty-four".