205204252 has 72 divisors (see below), whose sum is σ = 424400256. Its totient is φ = 85932000.

The previous prime is 205204249. The next prime is 205204273. The reversal of 205204252 is 252402502.

It is a happy number.

205204252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972427 + ... + 972637.

It is an arithmetic number, because the mean of its divisors is an integer number (5894448).

Almost surely, 2^205204252 is an apocalyptic number.

205204252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205204252 is an abundant number, since it is smaller than the sum of its proper divisors (219196004).

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

205204252 is a wasteful number, since it uses less digits than its factorization.

205204252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 205204252 is about 14324.9520767087. The cubic root of 205204252 is about 589.8326174612.

Adding to 205204252 its reverse (252402502), we get a palindrome (457606754).

The spelling of 205204252 in words is "two hundred five million, two hundred four thousand, two hundred fifty-two".