216244800 has 126 divisors (see below), whose sum is σ = 768636258. Its totient is φ = 57661440.

The previous prime is 216244751. The next prime is 216244867. The reversal of 216244800 is 8442612.

216244800 is a `hidden beast` number, since 216 + 2 + 448 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6110784 + 210134016 = 2472^2 + 14496^2 .

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 17 ways as a sum of consecutive naturals, for example, 6892 + ... + 21908.

Almost surely, 2^216244800 is an apocalyptic number.

216244800 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 216244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384318129).

216244800 is an abundant number, since it is smaller than the sum of its proper divisors (552391458).

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

216244800 is a wasteful number, since it uses less digits than its factorization.

216244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15045 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 216244800 is about 14705.2643634856. The cubic root of 216244800 is about 600.2265810909.

The spelling of 216244800 in words is "two hundred sixteen million, two hundred forty-four thousand, eight hundred".