205220160 has 84 divisors (see below), whose sum is σ = 705881748. Its totient is φ = 54724608.

The previous prime is 205220149. The next prime is 205220173. The reversal of 205220160 is 61022502.

It can be written as a sum of positive squares in 2 ways, for example, as 125081856 + 80138304 = 11184^2 + 8952^2 .

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 11 ways as a sum of consecutive naturals, for example, 32749 + ... + 38508.

Almost surely, 2^205220160 is an apocalyptic number.

205220160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205220160 is an abundant number, since it is smaller than the sum of its proper divisors (500661588).

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

205220160 is a wasteful number, since it uses less digits than its factorization.

205220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71280 (or 71267 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205220160 is about 14325.5073208595. The cubic root of 205220160 is about 589.8478588849.

Adding to 205220160 its reverse (61022502), we get a palindrome (266242662).

The spelling of 205220160 in words is "two hundred five million, two hundred twenty thousand, one hundred sixty".