218969140 has 96 divisors (see below), whose sum is σ = 518827680. Its totient is φ = 77070336.

The previous prime is 218969087. The next prime is 218969159. The reversal of 218969140 is 41969812.

It can be written as a sum of positive squares in 16 ways, for example, as 78641424 + 140327716 = 8868^2 + 11846^2 .

It is a junction number, because it is equal to n+sod(n) for n = 218969093 and 218969102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851892 + ... + 852148.

It is an arithmetic number, because the mean of its divisors is an integer number (5404455).

Almost surely, 2^218969140 is an apocalyptic number.

218969140 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 218969140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259413840).

218969140 is an abundant number, since it is smaller than the sum of its proper divisors (299858540).

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

218969140 is a wasteful number, since it uses less digits than its factorization.

218969140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 218969140 is about 14797.6058874400. The cubic root of 218969140 is about 602.7367021608.

The spelling of 218969140 in words is "two hundred eighteen million, nine hundred sixty-nine thousand, one hundred forty".