205220 has 24 divisors (see below), whose sum is σ = 446208. Its totient is φ = 79200.

The previous prime is 205213. The next prime is 205223. The reversal of 205220 is 22502.

It is not an unprimeable number, because it can be changed into a prime (205223) by changing a digit.

205220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (18592).

2²⁰⁵²²⁰ is an apocalyptic number.

205220 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 205220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223104).

205220 is an abundant number, since it is smaller than the sum of its proper divisors (240988).

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

205220 is a wasteful number, since it uses less digits than its factorization.

205220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 205220 is about 453.0121411177. The cubic root of 205220 is about 58.9847705593.

Subtracting from 205220 its sum of digits (11), we obtain a square (205209 = 453²).

Adding to 205220 its reverse (22502), we get a palindrome (227722).

The spelling of 205220 in words is "two hundred five thousand, two hundred twenty".