206223264200 has 108 divisors (see below), whose sum is σ = 484889970915. Its totient is φ = 81567077760.

The previous prime is 206223264173. The next prime is 206223264211. The reversal of 206223264200 is 2462322602.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 189975683044 + 16247581156 = 435862^2 + 127466^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=321110.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1046818502 + ... + 1046818698.

Almost surely, 2^206223264200 is an apocalyptic number.

206223264200 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 206223264200

206223264200 is an abundant number, since it is smaller than the sum of its proper divisors (278666706715).

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

206223264200 is an equidigital number, since it uses as much as digits as its factorization.

206223264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 206223264200 its reverse (2462322602), we get a palindrome (208685586802).

The spelling of 206223264200 in words is "two hundred six billion, two hundred twenty-three million, two hundred sixty-four thousand, two hundred".