230344224 has 96 divisors (see below), whose sum is σ = 662618880. Its totient is φ = 69484800.

The previous prime is 230344223. The next prime is 230344259. The reversal of 230344224 is 422443032.

230344224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230344194 and 230344203.

It is not an unprimeable number, because it can be changed into a prime (230344223) by changing a digit.

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, 349207 + ... + 349865.

It is an arithmetic number, because the mean of its divisors is an integer number (6902280).

Almost surely, 2^230344224 is an apocalyptic number.

230344224 is a gapful number since it is divisible by the number (24) 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 230344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331309440).

230344224 is an abundant number, since it is smaller than the sum of its proper divisors (432274656).

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

230344224 is a wasteful number, since it uses less digits than its factorization.

230344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 230344224 is about 15177.0953742803. The cubic root of 230344224 is about 612.9980723913.

Adding to 230344224 its reverse (422443032), we get a palindrome (652787256).

The spelling of 230344224 in words is "two hundred thirty million, three hundred forty-four thousand, two hundred twenty-four".