218043904 has 160 divisors (see below), whose sum is σ = 519716736. Its totient is φ = 90439680.

The previous prime is 218043877. The next prime is 218043907. The reversal of 218043904 is 409340812.

It is a super-2 number, since 2×218043904² = 95086288143122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218043907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4639209 + ... + 4639255.

Almost surely, 2^218043904 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 218043904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259858368).

218043904 is an abundant number, since it is smaller than the sum of its proper divisors (301672832).

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

218043904 is a wasteful number, since it uses less digits than its factorization.

218043904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 218043904 is about 14766.3097624288. The cubic root of 218043904 is about 601.8865656036.

The spelling of 218043904 in words is "two hundred eighteen million, forty-three thousand, nine hundred four".