216916200 has 144 divisors (see below), whose sum is σ = 748395180. Its totient is φ = 56263680.

The previous prime is 216916177. The next prime is 216916241. The reversal of 216916200 is 2619612.

It can be written as a sum of positive squares in 6 ways, for example, as 166874724 + 50041476 = 12918^2 + 7074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64972 + ... + 68228.

Almost surely, 2^216916200 is an apocalyptic number.

216916200 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 216916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374197590).

216916200 is an abundant number, since it is smaller than the sum of its proper divisors (531478980).

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

216916200 is a wasteful number, since it uses less digits than its factorization.

216916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 216916200 is about 14728.0752306607. The cubic root of 216916200 is about 600.8471367028.

The spelling of 216916200 in words is "two hundred sixteen million, nine hundred sixteen thousand, two hundred".