230443200 has 252 divisors, whose sum is σ = 882769888. Its totient is φ = 56678400.

The previous prime is 230443163. The next prime is 230443207. The reversal of 230443200 is 2344032.

230443200 is a `hidden beast` number, since 23 + 0 + 443 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230443207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186585 + ... + 187815.

Almost surely, 2^230443200 is an apocalyptic number.

230443200 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 230443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441384944).

230443200 is an abundant number, since it is smaller than the sum of its proper divisors (652326688).

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

230443200 is a wasteful number, since it uses less digits than its factorization.

230443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230443200 is about 15180.3557270573. The cubic root of 230443200 is about 613.0858589920.

Adding to 230443200 its reverse (2344032), we get a palindrome (232787232).

It can be divided in two parts, 23044 and 3200, that added together give a square (26244 = 162²).

The spelling of 230443200 in words is "two hundred thirty million, four hundred forty-three thousand, two hundred".