216883200 has 168 divisors, whose sum is σ = 719148168. Its totient is φ = 57671680.

The previous prime is 216883181. The next prime is 216883201. The reversal of 216883200 is 2388612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216883201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614224 + ... + 614576.

Almost surely, 2^216883200 is an apocalyptic number.

216883200 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 216883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359574084).

216883200 is an abundant number, since it is smaller than the sum of its proper divisors (502264968).

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

216883200 is an equidigital number, since it uses as much as digits as its factorization.

216883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 216883200 is about 14726.9548787249. The cubic root of 216883200 is about 600.8166657020.

The spelling of 216883200 in words is "two hundred sixteen million, eight hundred eighty-three thousand, two hundred".