224818008 has 64 divisors (see below), whose sum is σ = 591148800. Its totient is φ = 71111040.

The previous prime is 224818007. The next prime is 224818037. The reversal of 224818008 is 800818422.

It is a self number, because there is not a number n which added to its sum of digits gives 224818008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224818007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70758 + ... + 73866.

It is an arithmetic number, because the mean of its divisors is an integer number (9236700).

Almost surely, 2^224818008 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 224818008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295574400).

224818008 is an abundant number, since it is smaller than the sum of its proper divisors (366330792).

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

224818008 is a wasteful number, since it uses less digits than its factorization.

224818008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 224818008 is about 14993.9323727967. The cubic root of 224818008 is about 608.0561683451.

The spelling of 224818008 in words is "two hundred twenty-four million, eight hundred eighteen thousand, eight".