206205252 has 48 divisors (see below), whose sum is σ = 552518400. Its totient is φ = 59196960.

The previous prime is 206205221. The next prime is 206205287. The reversal of 206205252 is 252502602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38602 + ... + 43617.

It is an arithmetic number, because the mean of its divisors is an integer number (11510800).

Almost surely, 2^206205252 is an apocalyptic number.

206205252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

206205252 is an abundant number, since it is smaller than the sum of its proper divisors (346313148).

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

206205252 is a wasteful number, since it uses less digits than its factorization.

206205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82256 (or 82254 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 206205252 is about 14359.8486064443. The cubic root of 206205252 is about 590.7901431097.

Adding to 206205252 its reverse (252502602), we get a palindrome (458707854).

The spelling of 206205252 in words is "two hundred six million, two hundred five thousand, two hundred fifty-two".