224084 has 24 divisors (see below), whose sum is σ = 459648. Its totient is φ = 93600.

The previous prime is 224071. The next prime is 224101. The reversal of 224084 is 480422.

It is a congruent number.

It is an unprimeable number.

224084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1409 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2²²⁴⁰⁸⁴ 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 224084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

224084 is an abundant number, since it is smaller than the sum of its proper divisors (235564).

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

224084 is a wasteful number, since it uses less digits than its factorization.

224084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 224084 is about 473.3751155268. The cubic root of 224084 is about 60.7393699612.

The spelling of 224084 in words is "two hundred twenty-four thousand, eighty-four".