224003424 has 96 divisors (see below), whose sum is σ = 644202720. Its totient is φ = 67837952.

The previous prime is 224003419. The next prime is 224003431. The reversal of 224003424 is 424300422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 224003424.

It is a congruent number.

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, 44962 + ... + 49694.

It is an arithmetic number, because the mean of its divisors is an integer number (6710445).

Almost surely, 2^224003424 is an apocalyptic number.

224003424 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 224003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322101360).

224003424 is an abundant number, since it is smaller than the sum of its proper divisors (420199296).

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

224003424 is a wasteful number, since it uses less digits than its factorization.

224003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 224003424 is about 14966.7439344702. The cubic root of 224003424 is about 607.3208887881.

Adding to 224003424 its reverse (424300422), we get a palindrome (648303846).

The spelling of 224003424 in words is "two hundred twenty-four million, three thousand, four hundred twenty-four".