218197140 has 192 divisors, whose sum is σ = 755865600. Its totient is φ = 45909504.

The previous prime is 218197139. The next prime is 218197141. The reversal of 218197140 is 41791812.

218197140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218197139) and next prime (218197141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218197141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 294891 + ... + 295629.

It is an arithmetic number, because the mean of its divisors is an integer number (3936800).

Almost surely, 2^218197140 is an apocalyptic number.

218197140 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 218197140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377932800).

218197140 is an abundant number, since it is smaller than the sum of its proper divisors (537668460).

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

218197140 is a wasteful number, since it uses less digits than its factorization.

218197140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 218197140 is about 14771.4975544120. The cubic root of 218197140 is about 602.0275297102.

The spelling of 218197140 in words is "two hundred eighteen million, one hundred ninety-seven thousand, one hundred forty".