224443008 has 128 divisors (see below), whose sum is σ = 670017600. Its totient is φ = 73958400.

The previous prime is 224442989. The next prime is 224443031. The reversal of 224443008 is 800344422.

It is a happy number.

224443008 is a `hidden beast` number, since 224 + 4 + 430 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 348735 + ... + 349377.

Almost surely, 2^224443008 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 224443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335008800).

224443008 is an abundant number, since it is smaller than the sum of its proper divisors (445574592).

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

224443008 is a wasteful number, since it uses less digits than its factorization.

224443008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 224443008 is about 14981.4220953820. The cubic root of 224443008 is about 607.7178977535.

It can be divided in two parts, 22444 and 3008, that added together give a palindrome (25452).

The spelling of 224443008 in words is "two hundred twenty-four million, four hundred forty-three thousand, eight".