218268090 has 48 divisors (see below), whose sum is σ = 569205000. Its totient is φ = 58029696.

The previous prime is 218268053. The next prime is 218268101. The reversal of 218268090 is 90862812.

It can be written as a sum of positive squares in 4 ways, for example, as 214593201 + 3674889 = 14649^2 + 1917^2 .

It is a super-2 number, since 2×218268090² = 95281918224496200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27936 + ... + 34884.

Almost surely, 2^218268090 is an apocalyptic number.

218268090 is an abundant number, since it is smaller than the sum of its proper divisors (350936910).

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

218268090 is a wasteful number, since it uses less digits than its factorization.

218268090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7311 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 218268090 is about 14773.8989437454. The cubic root of 218268090 is about 602.0927753322.

The spelling of 218268090 in words is "two hundred eighteen million, two hundred sixty-eight thousand, ninety".