224112 has 80 divisors (see below), whose sum is σ = 714240. Its totient is φ = 59136.

The previous prime is 224101. The next prime is 224113. The reversal of 224112 is 211422.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224113) by changing a digit.

224112 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 15 ways as a sum of consecutive naturals, for example, 7714 + ... + 7742.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2²²⁴¹¹² 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 224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

224112 is an abundant number, since it is smaller than the sum of its proper divisors (490128).

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

224112 is a wasteful number, since it uses less digits than its factorization.

224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 224112 is about 473.4046894571. The cubic root of 224112 is about 60.7418997142.

Adding to 224112 its reverse (211422), we get a palindrome (435534).

The spelling of 224112 in words is "two hundred twenty-four thousand, one hundred twelve", and thus it is an iban number.