205530220 has 48 divisors (see below), whose sum is σ = 519240960. Its totient is φ = 66757824.

The previous prime is 205530203. The next prime is 205530229. The reversal of 205530220 is 22035502.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (205530229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35974 + ... + 41293.

It is an arithmetic number, because the mean of its divisors is an integer number (10817520).

Almost surely, 2^205530220 is an apocalyptic number.

205530220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205530220 is an abundant number, since it is smaller than the sum of its proper divisors (313710740).

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

205530220 is a wasteful number, since it uses less digits than its factorization.

205530220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77302 (or 77300 counting only the distinct ones).

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

The square root of 205530220 is about 14336.3251916242. The cubic root of 205530220 is about 590.1447696073.

Adding to 205530220 its reverse (22035502), we get a palindrome (227565722).

The spelling of 205530220 in words is "two hundred five million, five hundred thirty thousand, two hundred twenty".