218850200 has 48 divisors (see below), whose sum is σ = 513546000. Its totient is φ = 86728320.

The previous prime is 218850119. The next prime is 218850217. The reversal of 218850200 is 2058812.

It is a self number, because there is not a number n which added to its sum of digits gives 218850200.

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 11 ways as a sum of consecutive naturals, for example, 16781 + ... + 26819.

It is an arithmetic number, because the mean of its divisors is an integer number (10698875).

Almost surely, 2^218850200 is an apocalyptic number.

218850200 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 218850200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256773000).

218850200 is an abundant number, since it is smaller than the sum of its proper divisors (294695800).

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

218850200 is a wasteful number, since it uses less digits than its factorization.

218850200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 218850200 is about 14793.5864481876. The cubic root of 218850200 is about 602.6275505738.

The spelling of 218850200 in words is "two hundred eighteen million, eight hundred fifty thousand, two hundred".