218189700 has 252 divisors, whose sum is σ = 737158548. Its totient is φ = 55987200.

The previous prime is 218189689. The next prime is 218189717. The reversal of 218189700 is 7981812.

It can be written as a sum of positive squares in 6 ways, for example, as 31539456 + 186650244 = 5616^2 + 13662^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2988864 + ... + 2988936.

Almost surely, 2^218189700 is an apocalyptic number.

218189700 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 218189700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368579274).

218189700 is an abundant number, since it is smaller than the sum of its proper divisors (518968848).

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

218189700 is a wasteful number, since it uses less digits than its factorization.

218189700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 218189700 is about 14771.2457159171. The cubic root of 218189700 is about 602.0206870666.

The spelling of 218189700 in words is "two hundred eighteen million, one hundred eighty-nine thousand, seven hundred".