224927248 has 120 divisors (see below), whose sum is σ = 565510680. Its totient is φ = 85800960.

The previous prime is 224927239. The next prime is 224927251. The reversal of 224927248 is 842729422.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 219395344 = 2352^2 + 14812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224927248.

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 23 ways as a sum of consecutive naturals, for example, 295188 + ... + 295948.

It is an arithmetic number, because the mean of its divisors is an integer number (4712589).

Almost surely, 2^224927248 is an apocalyptic number.

224927248 is a gapful number since it is divisible by the number (28) 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 224927248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282755340).

224927248 is an abundant number, since it is smaller than the sum of its proper divisors (340583432).

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

224927248 is a wasteful number, since it uses less digits than its factorization.

224927248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 812 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 224927248 is about 14997.5747372700. The cubic root of 224927248 is about 608.1546380669.

The spelling of 224927248 in words is "two hundred twenty-four million, nine hundred twenty-seven thousand, two hundred forty-eight".