205022020 has 48 divisors (see below), whose sum is σ = 501355008. Its totient is φ = 68964480.

The previous prime is 205021987. The next prime is 205022029. The reversal of 205022020 is 20220502.

It is not an unprimeable number, because it can be changed into a prime (205022029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6396 + ... + 21235.

It is an arithmetic number, because the mean of its divisors is an integer number (10444896).

Almost surely, 2^205022020 is an apocalyptic number.

205022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205022020 is an abundant number, since it is smaller than the sum of its proper divisors (296332988).

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

205022020 is a wasteful number, since it uses less digits than its factorization.

205022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27700 (or 27698 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 205022020 is about 14318.5900143834. The cubic root of 205022020 is about 589.6579651168.

Adding to 205022020 its reverse (20220502), we get a palindrome (225242522).

It can be divided in two parts, 20502 and 2020, that added together give a palindrome (22522).

The spelling of 205022020 in words is "two hundred five million, twenty-two thousand, twenty".