216922800 has 120 divisors (see below), whose sum is σ = 711985680. Its totient is φ = 56422400.

The previous prime is 216922793. The next prime is 216922847. The reversal of 216922800 is 8229612.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46996 + ... + 51404.

It is an arithmetic number, because the mean of its divisors is an integer number (5933214).

Almost surely, 2^216922800 is an apocalyptic number.

216922800 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 216922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355992840).

216922800 is an abundant number, since it is smaller than the sum of its proper divisors (495062880).

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

216922800 is a wasteful number, since it uses less digits than its factorization.

216922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 216922800 is about 14728.2992908211. The cubic root of 216922800 is about 600.8532305321.

The spelling of 216922800 in words is "two hundred sixteen million, nine hundred twenty-two thousand, eight hundred".