205241232200 has 48 divisors (see below), whose sum is σ = 477216504180. Its totient is φ = 82091221760.

The previous prime is 205241232181. The next prime is 205241232211. The reversal of 205241232200 is 2232142502.

205241232200 is digitally balanced in base 2, 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 58072324324 + 147168907876 = 240982^2 + 383626^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5030282 + ... + 5070918.

Almost surely, 2^205241232200 is an apocalyptic number.

205241232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205241232200 is an abundant number, since it is smaller than the sum of its proper divisors (271975271980).

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

205241232200 is a wasteful number, since it uses less digits than its factorization.

205241232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65906 (or 65897 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 205241232200 its reverse (2232142502), we get a palindrome (207473374702).

The spelling of 205241232200 in words is "two hundred five billion, two hundred forty-one million, two hundred thirty-two thousand, two hundred".