205226 has 16 divisors (see below), whose sum is σ = 357696. Its totient is φ = 86496.

The previous prime is 205223. The next prime is 205237. The reversal of 205226 is 622502.

It is a super-2 number, since 2×205226² = 84235422152, which contains 22 as substring.

It is a Curzon 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 in 7 ways as a sum of consecutive naturals, for example, 1430 + ... + 1566.

It is an arithmetic number, because the mean of its divisors is an integer number (22356).

2²⁰⁵²²⁶ is an apocalyptic number.

205226 is a deficient number, since it is larger than the sum of its proper divisors (152470).

205226 is a wasteful number, since it uses less digits than its factorization.

205226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 205226 is about 453.0187634083. The cubic root of 205226 is about 58.9853453980.

Subtracting from 205226 its sum of digits (17), we obtain a square (205209 = 453²).

Adding to 205226 its reverse (622502), we get a palindrome (827728).

The spelling of 205226 in words is "two hundred five thousand, two hundred twenty-six".