230224200 has 96 divisors (see below), whose sum is σ = 755710560. Its totient is φ = 57779200.

The previous prime is 230224157. The next prime is 230224201. The reversal of 230224200 is 2422032.

230224200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230224200.

It is not an unprimeable number, because it can be changed into a prime (230224201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1086 + ... + 21485.

It is an arithmetic number, because the mean of its divisors is an integer number (7871985).

Almost surely, 2^230224200 is an apocalyptic number.

230224200 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 230224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377855280).

230224200 is an abundant number, since it is smaller than the sum of its proper divisors (525486360).

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

230224200 is a wasteful number, since it uses less digits than its factorization.

230224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22607 (or 22598 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230224200 is about 15173.1407427731. The cubic root of 230224200 is about 612.8915835575.

Adding to 230224200 its reverse (2422032), we get a palindrome (232646232).

The spelling of 230224200 in words is "two hundred thirty million, two hundred twenty-four thousand, two hundred".