205301220 has 96 divisors (see below), whose sum is σ = 619315200. Its totient is φ = 50666880.

The previous prime is 205301177. The next prime is 205301233. The reversal of 205301220 is 22103502.

205301220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 205301220.

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, 40381 + ... + 45179.

It is an arithmetic number, because the mean of its divisors is an integer number (6451200).

Almost surely, 2^205301220 is an apocalyptic number.

205301220 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 205301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309657600).

205301220 is an abundant number, since it is smaller than the sum of its proper divisors (414013980).

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

205301220 is a wasteful number, since it uses less digits than its factorization.

205301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205301220 is about 14328.3362607108. The cubic root of 205301220 is about 589.9255100825.

Adding to 205301220 its reverse (22103502), we get a palindrome (227404722).

The spelling of 205301220 in words is "two hundred five million, three hundred one thousand, two hundred twenty".