205222 has 4 divisors (see below), whose sum is σ = 307836. Its totient is φ = 102610.

The previous prime is 205213. The next prime is 205223. The reversal of 205222 is 222502.

It is a semiprime because it is the product of two primes.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51304 + ... + 51307.

It is an arithmetic number, because the mean of its divisors is an integer number (76959).

2²⁰⁵²²² is an apocalyptic number.

205222 is a deficient number, since it is larger than the sum of its proper divisors (102614).

205222 is a wasteful number, since it uses less digits than its factorization.

205222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102613.

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

The square root of 205222 is about 453.0143485586. The cubic root of 205222 is about 58.9849621734.

Subtracting from 205222 its sum of digits (13), we obtain a square (205209 = 453²).

Adding to 205222 its reverse (222502), we get a palindrome (427724).

The spelling of 205222 in words is "two hundred five thousand, two hundred twenty-two".