224096 has 24 divisors (see below), whose sum is σ = 453600. Its totient is φ = 108928.

The previous prime is 224071. The next prime is 224101. The reversal of 224096 is 690422.

224096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1430 + ... + 1578.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²²⁴⁰⁹⁶ 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 224096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800).

224096 is an abundant number, since it is smaller than the sum of its proper divisors (229504).

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

224096 is a wasteful number, since it uses less digits than its factorization.

224096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 224096 is about 473.3877902946. The cubic root of 224096 is about 60.7404541669.

The spelling of 224096 in words is "two hundred twenty-four thousand, ninety-six".