224419008 has 112 divisors (see below), whose sum is σ = 659099520. Its totient is φ = 66816000.

The previous prime is 224418977. The next prime is 224419037. The reversal of 224419008 is 800914422.

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 15 ways as a sum of consecutive naturals, for example, 123708 + ... + 125508.

Almost surely, 2^224419008 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 224419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329549760).

224419008 is an abundant number, since it is smaller than the sum of its proper divisors (434680512).

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

224419008 is a wasteful number, since it uses less digits than its factorization.

224419008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 224419008 is about 14980.6210819178. The cubic root of 224419008 is about 607.6962356107.

The spelling of 224419008 in words is "two hundred twenty-four million, four hundred nineteen thousand, eight".