218970000 has 200 divisors, whose sum is σ = 786373280. Its totient is φ = 58320000.

The previous prime is 218969987. The next prime is 218970001. The reversal of 218970000 is 79812.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (218970001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 269595 + ... + 270405.

Almost surely, 2^218970000 is an apocalyptic number.

218970000 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 218970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393186640).

218970000 is an abundant number, since it is smaller than the sum of its proper divisors (567403280).

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

218970000 is an equidigital number, since it uses as much as digits as its factorization.

218970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 218970000 is about 14797.6349461662. The cubic root of 218970000 is about 602.7374912414.

The spelling of 218970000 in words is "two hundred eighteen million, nine hundred seventy thousand".