224742144 has 144 divisors (see below), whose sum is σ = 671086080. Its totient is φ = 66170880.

The previous prime is 224742139. The next prime is 224742169. The reversal of 224742144 is 441247422.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 312217 + ... + 312935.

It is an arithmetic number, because the mean of its divisors is an integer number (4660320).

Almost surely, 2^224742144 is an apocalyptic number.

224742144 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 224742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

224742144 is an abundant number, since it is smaller than the sum of its proper divisors (446343936).

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

224742144 is a wasteful number, since it uses less digits than its factorization.

224742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 772 counting only the distinct ones).

The product of its digits is 14336, while the sum is 30.

The square root of 224742144 is about 14991.4023360058. The cubic root of 224742144 is about 607.9877652201.

Adding to 224742144 its reverse (441247422), we get a palindrome (665989566).

The spelling of 224742144 in words is "two hundred twenty-four million, seven hundred forty-two thousand, one hundred forty-four".