218611940 has 12 divisors (see below), whose sum is σ = 459085116. Its totient is φ = 87444768.

The previous prime is 218611931. The next prime is 218611961. The reversal of 218611940 is 49116812.

218611940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 173238244 + 45373696 = 13162^2 + 6736^2 .

It is a super-3 number, since 3×218611940³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218611897 and 218611906.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5465279 + ... + 5465318.

It is an arithmetic number, because the mean of its divisors is an integer number (38257093).

Almost surely, 2^218611940 is an apocalyptic number.

218611940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218611940 is an abundant number, since it is smaller than the sum of its proper divisors (240473176).

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

218611940 is a wasteful number, since it uses less digits than its factorization.

218611940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930606 (or 10930604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 218611940 is about 14785.5314412435. The cubic root of 218611940 is about 602.4087796563.

The spelling of 218611940 in words is "two hundred eighteen million, six hundred eleven thousand, nine hundred forty".