224275328 has 64 divisors (see below), whose sum is σ = 477360000. Its totient is φ = 104724480.

The previous prime is 224275309. The next prime is 224275351. The reversal of 224275328 is 823572422.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114098 + ... + 116046.

It is an arithmetic number, because the mean of its divisors is an integer number (7458750).

Almost surely, 2^224275328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238680000).

224275328 is an abundant number, since it is smaller than the sum of its proper divisors (253084672).

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

224275328 is a wasteful number, since it uses less digits than its factorization.

224275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2011 counting only the distinct ones).

The product of its digits is 53760, while the sum is 35.

The square root of 224275328 is about 14975.8247852998. The cubic root of 224275328 is about 607.5665192731.

The spelling of 224275328 in words is "two hundred twenty-four million, two hundred seventy-five thousand, three hundred twenty-eight".