224084744 has 48 divisors (see below), whose sum is σ = 459188100. Its totient is φ = 101910528.

The previous prime is 224084741. The next prime is 224084759. The reversal of 224084744 is 447480422.

It can be written as a sum of positive squares in 6 ways, for example, as 115132900 + 108951844 = 10730^2 + 10438^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (224084741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978422 + ... + 978650.

Almost surely, 2^224084744 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 224084744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229594050).

224084744 is an abundant number, since it is smaller than the sum of its proper divisors (235103356).

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

224084744 is a wasteful number, since it uses less digits than its factorization.

224084744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 224084744 is about 14969.4603777157. The cubic root of 224084744 is about 607.3943718308.

The spelling of 224084744 in words is "two hundred twenty-four million, eighty-four thousand, seven hundred forty-four".