2224008 has 96 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 658944.

The previous prime is 2223983. The next prime is 2224009. The reversal of 2224008 is 8004222.

2224008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2224009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28113 + ... + 28191.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

2^2224008 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 2224008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2224008 is an abundant number, since it is smaller than the sum of its proper divisors (4515192).

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

2224008 is a wasteful number, since it uses less digits than its factorization.

2224008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2224008 is about 1491.3108327911. The cubic root of 2224008 is about 130.5305340979.

The spelling of 2224008 in words is "two million, two hundred twenty-four thousand, eight".