224024440 has 64 divisors (see below), whose sum is σ = 532980000. Its totient is φ = 84510720.

The previous prime is 224024413. The next prime is 224024443. The reversal of 224024440 is 44420422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224024443) 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, 213036 + ... + 214084.

Almost surely, 2^224024440 is an apocalyptic number.

224024440 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 224024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266490000).

224024440 is an abundant number, since it is smaller than the sum of its proper divisors (308955560).

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

224024440 is a wasteful number, since it uses less digits than its factorization.

224024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 224024440 is about 14967.4460079200. The cubic root of 224024440 is about 607.3398811417.

Adding to 224024440 its reverse (44420422), we get a palindrome (268444862).

The spelling of 224024440 in words is "two hundred twenty-four million, twenty-four thousand, four hundred forty".