218227800 has 192 divisors, whose sum is σ = 779950080. Its totient is φ = 49443840.

The previous prime is 218227781. The next prime is 218227811. The reversal of 218227800 is 8722812.

It is a happy number.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936484 + ... + 936716.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^218227800 is an apocalyptic number.

218227800 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 218227800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

218227800 is an abundant number, since it is smaller than the sum of its proper divisors (561722280).

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

218227800 is a wasteful number, since it uses less digits than its factorization.

218227800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 218227800 is about 14772.5353274243. The cubic root of 218227800 is about 602.0557263822.

The spelling of 218227800 in words is "two hundred eighteen million, two hundred twenty-seven thousand, eight hundred".