216822900 has 144 divisors (see below), whose sum is σ = 721731584. Its totient is φ = 49230720.

The previous prime is 216822887. The next prime is 216822911. The reversal of 216822900 is 9228612.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468069 + ... + 468531.

Almost surely, 2^216822900 is an apocalyptic number.

216822900 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 216822900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360865792).

216822900 is an abundant number, since it is smaller than the sum of its proper divisors (504908684).

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

216822900 is a wasteful number, since it uses less digits than its factorization.

216822900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

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

The square root of 216822900 is about 14724.9074699979. The cubic root of 216822900 is about 600.7609788883.

It can be divided in two parts, 21 and 6822900, that multiplied together give a square (143280900 = 11970²).

The spelling of 216822900 in words is "two hundred sixteen million, eight hundred twenty-two thousand, nine hundred".