224294112 has 144 divisors (see below), whose sum is σ = 739694592. Its totient is φ = 63141120.

The previous prime is 224294099. The next prime is 224294117. The reversal of 224294112 is 211492422.

224294112 is a `hidden beast` number, since 2 + 242 + 9 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224294117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142353 + ... + 143919.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2^224294112 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 224294112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

224294112 is an abundant number, since it is smaller than the sum of its proper divisors (515400480).

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

224294112 is a wasteful number, since it uses less digits than its factorization.

224294112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1650 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 224294112 is about 14976.4519162584. The cubic root of 224294112 is about 607.5834808816.

The spelling of 224294112 in words is "two hundred twenty-four million, two hundred ninety-four thousand, one hundred twelve".