205256220 has 96 divisors (see below), whose sum is σ = 626949120. Its totient is φ = 49870080.

The previous prime is 205256203. The next prime is 205256231. The reversal of 205256220 is 22652502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59955 + ... + 63285.

It is an arithmetic number, because the mean of its divisors is an integer number (6530720).

Almost surely, 2^205256220 is an apocalyptic number.

205256220 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 205256220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313474560).

205256220 is an abundant number, since it is smaller than the sum of its proper divisors (421692900).

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

205256220 is a wasteful number, since it uses less digits than its factorization.

205256220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 205256220 is about 14326.7658597466. The cubic root of 205256220 is about 589.8824049842.

The spelling of 205256220 in words is "two hundred five million, two hundred fifty-six thousand, two hundred twenty".