205045200 has 90 divisors (see below), whose sum is σ = 711576294. Its totient is φ = 54677760.

The previous prime is 205045189. The next prime is 205045219. The reversal of 205045200 is 2540502.

205045200 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 3 ways, for example, as 97344 + 204947856 = 312^2 + 14316^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24879 + ... + 32078.

Almost surely, 2^205045200 is an apocalyptic number.

205045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205045200 is an abundant number, since it is smaller than the sum of its proper divisors (506531094).

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

205045200 is a wasteful number, since it uses less digits than its factorization.

205045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56981 (or 56967 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205045200 is about 14319.3994287470. The cubic root of 205045200 is about 589.6801867243.

Adding to 205045200 its reverse (2540502), we get a palindrome (207585702).

The spelling of 205045200 in words is "two hundred five million, forty-five thousand, two hundred".