224421440 has 56 divisors (see below), whose sum is σ = 543211512. Its totient is φ = 88289280.

The previous prime is 224421433. The next prime is 224421467. The reversal of 224421440 is 44124422.

224421440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 223323136 = 1048^2 + 14944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13772 + ... + 25268.

Almost surely, 2^224421440 is an apocalyptic number.

224421440 is a gapful number since it is divisible by the number (20) 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 224421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271605756).

224421440 is an abundant number, since it is smaller than the sum of its proper divisors (318790072).

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

224421440 is a wasteful number, since it uses less digits than its factorization.

224421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575 (or 11565 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 224421440 is about 14980.7022532323. The cubic root of 224421440 is about 607.6984307782.

Adding to 224421440 its reverse (44124422), we get a palindrome (268545862).

The spelling of 224421440 in words is "two hundred twenty-four million, four hundred twenty-one thousand, four hundred forty".