230084224 has 64 divisors (see below), whose sum is σ = 488376000. Its totient is φ = 107661312.

The previous prime is 230084221. The next prime is 230084227. The reversal of 230084224 is 422480032.

230084224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230084221) and next prime (230084227).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (230084221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215917 + ... + 216979.

It is an arithmetic number, because the mean of its divisors is an integer number (7630875).

Almost surely, 2^230084224 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 230084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244188000).

230084224 is an abundant number, since it is smaller than the sum of its proper divisors (258291776).

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

230084224 is a wasteful number, since it uses less digits than its factorization.

230084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 230084224 is about 15168.5274169907. The cubic root of 230084224 is about 612.7673459593.

The spelling of 230084224 in words is "two hundred thirty million, eighty-four thousand, two hundred twenty-four".