224472 has 32 divisors (see below), whose sum is σ = 576000. Its totient is φ = 72864.

The previous prime is 224467. The next prime is 224473. The reversal of 224472 is 274422.

224472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224473) by changing a digit.

224472 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, 1029 + ... + 1227.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2²²⁴⁴⁷² 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 224472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

224472 is an abundant number, since it is smaller than the sum of its proper divisors (351528).

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

224472 is a wasteful number, since it uses less digits than its factorization.

224472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 224472 is about 473.7847612577. The cubic root of 224472 is about 60.7744063563.

Adding to 224472 its reverse (274422), we get a palindrome (498894).

It can be divided in two parts, 224 and 472, that added together give a palindrome (696).

The spelling of 224472 in words is "two hundred twenty-four thousand, four hundred seventy-two", and thus it is an iban number.