218371140 has 120 divisors (see below), whose sum is σ = 737804760. Its totient is φ = 53747712.

The previous prime is 218371129. The next prime is 218371141. The reversal of 218371140 is 41173812.

It can be written as a sum of positive squares in 4 ways, for example, as 4743684 + 213627456 = 2178^2 + 14616^2 .

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 (218371141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15876 + ... + 26244.

It is an arithmetic number, because the mean of its divisors is an integer number (6148373).

Almost surely, 2^218371140 is an apocalyptic number.

218371140 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 218371140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368902380).

218371140 is an abundant number, since it is smaller than the sum of its proper divisors (519433620).

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

218371140 is a wasteful number, since it uses less digits than its factorization.

218371140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 218371140 is about 14777.3861017434. The cubic root of 218371140 is about 602.1875149383.

The spelling of 218371140 in words is "two hundred eighteen million, three hundred seventy-one thousand, one hundred forty".