230003200 has 240 divisors, whose sum is σ = 694134144. Its totient is φ = 73728000.

The previous prime is 230003177. The next prime is 230003203. The reversal of 230003200 is 2300032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (230003203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1523125 + ... + 1523275.

Almost surely, 2^230003200 is an apocalyptic number.

230003200 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 230003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347067072).

230003200 is an abundant number, since it is smaller than the sum of its proper divisors (464130944).

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

230003200 is a wasteful number, since it uses less digits than its factorization.

230003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 230003200 is about 15165.8563886119. The cubic root of 230003200 is about 612.6954089824.

Adding to 230003200 its reverse (2300032), we get a palindrome (232303232).

Multiplying 230003200 by its reverse (2300032), we get a square (529014720102400 = 23000320²).

230003200 divided by its reverse (2300032) gives a square (100 = 10²).

The spelling of 230003200 in words is "two hundred thirty million, three thousand, two hundred".