230821200 has 180 divisors, whose sum is σ = 810495868. Its totient is φ = 60825600.

The previous prime is 230821159. The next prime is 230821211. The reversal of 230821200 is 2128032.

It is a happy number.

230821200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 24336 + 230796864 = 156^2 + 15192^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348870 + ... + 349530.

Almost surely, 2^230821200 is an apocalyptic number.

230821200 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 230821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405247934).

230821200 is an abundant number, since it is smaller than the sum of its proper divisors (579674668).

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

230821200 is a wasteful number, since it uses less digits than its factorization.

230821200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 230821200 is about 15192.8009267548. The cubic root of 230821200 is about 613.4208943463.

Adding to 230821200 its reverse (2128032), we get a palindrome (232949232).

The spelling of 230821200 in words is "two hundred thirty million, eight hundred twenty-one thousand, two hundred".