205351220 has 24 divisors (see below), whose sum is σ = 431778984. Its totient is φ = 82037376.

The previous prime is 205351219. The next prime is 205351229. The reversal of 205351220 is 22153502.

205351220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17606416 + 187744804 = 4196^2 + 13702^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205351192 and 205351201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205351229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11042 + ... + 23078.

It is an arithmetic number, because the mean of its divisors is an integer number (17990791).

Almost surely, 2^205351220 is an apocalyptic number.

205351220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205351220 is an abundant number, since it is smaller than the sum of its proper divisors (226427764).

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

205351220 is a wasteful number, since it uses less digits than its factorization.

205351220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12899 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205351220 is about 14330.0809488293. The cubic root of 205351220 is about 589.9733972492.

The spelling of 205351220 in words is "two hundred five million, three hundred fifty-one thousand, two hundred twenty".