205035220 has 96 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 71877120.

The previous prime is 205035203. The next prime is 205035227. The reversal of 205035220 is 22530502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205035227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535149 + ... + 535531.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^205035220 is an apocalyptic number.

205035220 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 205035220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

205035220 is an abundant number, since it is smaller than the sum of its proper divisors (282675500).

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

205035220 is a wasteful number, since it uses less digits than its factorization.

205035220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 205035220 is about 14319.0509462045. The cubic root of 205035220 is about 589.6706195593.

Adding to 205035220 its reverse (22530502), we get a palindrome (227565722).

The spelling of 205035220 in words is "two hundred five million, thirty-five thousand, two hundred twenty".