206233284800 has 42 divisors (see below), whose sum is σ = 507462780348. Its totient is φ = 82493313280.

The previous prime is 206233284773. The next prime is 206233284869. The reversal of 206233284800 is 8482332602.

It is a super-2 number, since 2×206233284800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64446302 + ... + 64449501.

Almost surely, 2^206233284800 is an apocalyptic number.

206233284800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206233284800 is an abundant number, since it is smaller than the sum of its proper divisors (301229495548).

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

206233284800 is a wasteful number, since it uses less digits than its factorization.

206233284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128895825 (or 128895810 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 206233284800 in words is "two hundred six billion, two hundred thirty-three million, two hundred eighty-four thousand, eight hundred".