224141440 has 64 divisors (see below), whose sum is σ = 559172160. Its totient is φ = 85752832.

The previous prime is 224141431. The next prime is 224141443. The reversal of 224141440 is 44141422.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (224141443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7107 + ... + 22333.

It is an arithmetic number, because the mean of its divisors is an integer number (8737065).

Almost surely, 2^224141440 is an apocalyptic number.

224141440 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 224141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586080).

224141440 is an abundant number, since it is smaller than the sum of its proper divisors (335030720).

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

224141440 is a wasteful number, since it uses less digits than its factorization.

224141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269 (or 15257 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 224141440 is about 14971.3539801850. The cubic root of 224141440 is about 607.4455934160.

Adding to 224141440 its reverse (44141422), we get a palindrome (268282862).

It can be divided in two parts, 2241 and 41440, that added together give a square (43681 = 209²).

The spelling of 224141440 in words is "two hundred twenty-four million, one hundred forty-one thousand, four hundred forty".