224731440 has 240 divisors, whose sum is σ = 800841600. Its totient is φ = 56383488.

The previous prime is 224731439. The next prime is 224731489. The reversal of 224731440 is 44137422.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 981246 + ... + 981474.

It is an arithmetic number, because the mean of its divisors is an integer number (3336840).

Almost surely, 2^224731440 is an apocalyptic number.

224731440 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 224731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400420800).

224731440 is an abundant number, since it is smaller than the sum of its proper divisors (576110160).

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

224731440 is a wasteful number, since it uses less digits than its factorization.

224731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 224731440 is about 14991.0453271278. The cubic root of 224731440 is about 607.9781126701.

Adding to 224731440 its reverse (44137422), we get a palindrome (268868862).

The spelling of 224731440 in words is "two hundred twenty-four million, seven hundred thirty-one thousand, four hundred forty".