206264200 has 48 divisors (see below), whose sum is σ = 489790080. Its totient is φ = 80746560.

The previous prime is 206264197. The next prime is 206264239. The reversal of 206264200 is 2462602.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1572 + ... + 20371.

It is an arithmetic number, because the mean of its divisors is an integer number (10203960).

Almost surely, 2^206264200 is an apocalyptic number.

206264200 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 206264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244895040).

206264200 is an abundant number, since it is smaller than the sum of its proper divisors (283525880).

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

206264200 is a wasteful number, since it uses less digits than its factorization.

206264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22006 (or 21997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 206264200 is about 14361.9009883789. The cubic root of 206264200 is about 590.8464342387.

The spelling of 206264200 in words is "two hundred six million, two hundred sixty-four thousand, two hundred".