218234304 has 336 divisors, whose sum is σ = 748588800. Its totient is φ = 62042112.

The previous prime is 218234299. The next prime is 218234329. The reversal of 218234304 is 403432812.

It is a super-2 number, since 2×218234304² = 95252422884728832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9488437 + ... + 9488459.

Almost surely, 2^218234304 is an apocalyptic number.

218234304 is a gapful number since it is divisible by the number (24) 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 218234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374294400).

218234304 is an abundant number, since it is smaller than the sum of its proper divisors (530354496).

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

218234304 is a wasteful number, since it uses less digits than its factorization.

218234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 218234304 is about 14772.7554640290. The cubic root of 218234304 is about 602.0617074893.

The spelling of 218234304 in words is "two hundred eighteen million, two hundred thirty-four thousand, three hundred four".