230221200 has 240 divisors, whose sum is σ = 817019136. Its totient is φ = 54950400.

The previous prime is 230221177. The next prime is 230221219. The reversal of 230221200 is 2122032.

230221200 is digitally balanced in base 2, 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412319 + ... + 1412481.

Almost surely, 2^230221200 is an apocalyptic number.

230221200 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 230221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408509568).

230221200 is an abundant number, since it is smaller than the sum of its proper divisors (586797936).

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

230221200 is a wasteful number, since it uses less digits than its factorization.

230221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230221200 is about 15173.0418835512. The cubic root of 230221200 is about 612.8889213949. Note that the first 3 decimals are identical.

Adding to 230221200 its reverse (2122032), we get a palindrome (232343232).

The spelling of 230221200 in words is "two hundred thirty million, two hundred twenty-one thousand, two hundred".