218313904 has 40 divisors (see below), whose sum is σ = 441971712. Its totient is φ = 104343360.

The previous prime is 218313899. The next prime is 218313917. The reversal of 218313904 is 409313812.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 7 ways as a sum of consecutive naturals, for example, 38517 + ... + 43819.

Almost surely, 2^218313904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218313904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220985856).

218313904 is an abundant number, since it is smaller than the sum of its proper divisors (223657808).

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

218313904 is a wasteful number, since it uses less digits than its factorization.

218313904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 218313904 is about 14775.4493671089. The cubic root of 218313904 is about 602.1348983756.

The spelling of 218313904 in words is "two hundred eighteen million, three hundred thirteen thousand, nine hundred four".