205233200 has 30 divisors (see below), whose sum is σ = 493073724. Its totient is φ = 82093120.

The previous prime is 205233181. The next prime is 205233233. The reversal of 205233200 is 2332502.

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 5 ways as a sum of consecutive naturals, for example, 256142 + ... + 256941.

Almost surely, 2^205233200 is an apocalyptic number.

205233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205233200 is an abundant number, since it is smaller than the sum of its proper divisors (287840524).

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

205233200 is a wasteful number, since it uses less digits than its factorization.

205233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513101 (or 513090 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 205233200 is about 14325.9624458533. The cubic root of 205233200 is about 589.8603518959.

Adding to 205233200 its reverse (2332502), we get a palindrome (207565702).

The spelling of 205233200 in words is "two hundred five million, two hundred thirty-three thousand, two hundred".