224402304 has 128 divisors (see below), whose sum is σ = 703457280. Its totient is φ = 62023680.

The previous prime is 224402281. The next prime is 224402309. The reversal of 224402304 is 403204422.

224402304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224402309) 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, 81982 + ... + 84674.

It is an arithmetic number, because the mean of its divisors is an integer number (5495760).

Almost surely, 2^224402304 is an apocalyptic number.

224402304 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 224402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351728640).

224402304 is an abundant number, since it is smaller than the sum of its proper divisors (479054976).

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

224402304 is a wasteful number, since it uses less digits than its factorization.

224402304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2736 counting only the distinct ones).

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

The square root of 224402304 is about 14980.0635512671. The cubic root of 224402304 is about 607.6811578478.

Adding to 224402304 its reverse (403204422), we get a palindrome (627606726).

The spelling of 224402304 in words is "two hundred twenty-four million, four hundred two thousand, three hundred four".