218195000 has 120 divisors (see below), whose sum is σ = 546668760. Its totient is φ = 81600000.

The previous prime is 218194973. The next prime is 218195023. The reversal of 218195000 is 591812.

It is a happy number.

218195000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1444925 + ... + 1445075.

It is an arithmetic number, because the mean of its divisors is an integer number (4555573).

Almost surely, 2^218195000 is an apocalyptic number.

218195000 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 218195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273334380).

218195000 is an abundant number, since it is smaller than the sum of its proper divisors (328473760).

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

218195000 is a wasteful number, since it uses less digits than its factorization.

218195000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 218195000 is about 14771.4251174354. The cubic root of 218195000 is about 602.0255615464.

The spelling of 218195000 in words is "two hundred eighteen million, one hundred ninety-five thousand".