224065024 has 80 divisors (see below), whose sum is σ = 487111680. Its totient is φ = 102574080.

The previous prime is 224065019. The next prime is 224065031. The reversal of 224065024 is 420560422.

It is a self number, because there is not a number n which added to its sum of digits gives 224065024.

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, 301197 + ... + 301939.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^224065024 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 224065024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555840).

224065024 is an abundant number, since it is smaller than the sum of its proper divisors (263046656).

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

224065024 is an equidigital number, since it uses as much as digits as its factorization.

224065024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 224065024 is about 14968.8016888460. The cubic root of 224065024 is about 607.3765539164.

The spelling of 224065024 in words is "two hundred twenty-four million, sixty-five thousand, twenty-four".