224493696 has 288 divisors, whose sum is σ = 777738780. Its totient is φ = 61931520.

The previous prime is 224493679. The next prime is 224493701. The reversal of 224493696 is 696394422.

It can be written as a sum of positive squares in 2 ways, for example, as 203918400 + 20575296 = 14280^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2314320 + ... + 2314416.

Almost surely, 2^224493696 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 224493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388869390).

224493696 is an abundant number, since it is smaller than the sum of its proper divisors (553245084).

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

224493696 is a wasteful number, since it uses less digits than its factorization.

224493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 224493696 is about 14983.1136950902. The cubic root of 224493696 is about 607.7636431248.

The spelling of 224493696 in words is "two hundred twenty-four million, four hundred ninety-three thousand, six hundred ninety-six".