216493200 has 540 divisors, whose sum is σ = 957063744. Its totient is φ = 44352000.

The previous prime is 216493187. The next prime is 216493213. The reversal of 216493200 is 2394612.

216493200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216493187) and next prime (216493213).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3049165 + ... + 3049235.

Almost surely, 2^216493200 is an apocalyptic number.

216493200 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 216493200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478531872).

216493200 is an abundant number, since it is smaller than the sum of its proper divisors (740570544).

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

216493200 is a wasteful number, since it uses less digits than its factorization.

216493200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 216493200 is about 14713.7078943412. The cubic root of 216493200 is about 600.4563195328.

The spelling of 216493200 in words is "two hundred sixteen million, four hundred ninety-three thousand, two hundred".