218200920 has 192 divisors, whose sum is σ = 780088320. Its totient is φ = 48658176.

The previous prime is 218200867. The next prime is 218200937. The reversal of 218200920 is 29002812.

218200920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218200920² = 95223282977692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252409 + ... + 253271.

It is an arithmetic number, because the mean of its divisors is an integer number (4062960).

Almost surely, 2^218200920 is an apocalyptic number.

218200920 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 218200920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390044160).

218200920 is an abundant number, since it is smaller than the sum of its proper divisors (561887400).

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

218200920 is a wasteful number, since it uses less digits than its factorization.

218200920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 218200920 is about 14771.6255029702. The cubic root of 218200920 is about 602.0310061549.

The spelling of 218200920 in words is "two hundred eighteen million, two hundred thousand, nine hundred twenty".