230441200 has 120 divisors (see below), whose sum is σ = 612210816. Its totient is φ = 82656000.

The previous prime is 230441161. The next prime is 230441219. The reversal of 230441200 is 2144032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 364885 + ... + 365515.

Almost surely, 2^230441200 is an apocalyptic number.

230441200 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 230441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306105408).

230441200 is an abundant number, since it is smaller than the sum of its proper divisors (381769616).

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

230441200 is a wasteful number, since it uses less digits than its factorization.

230441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 230441200 is about 15180.2898523052. The cubic root of 230441200 is about 613.0840853441.

Adding to 230441200 its reverse (2144032), we get a palindrome (232585232).

The spelling of 230441200 in words is "two hundred thirty million, four hundred forty-one thousand, two hundred".