224442 has 24 divisors (see below), whose sum is σ = 500916. Its totient is φ = 72576.

The previous prime is 224429. The next prime is 224443. The reversal of 224442 is 244422.

224442 is a `hidden beast` number, since 224 + 442 = 666.

224442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221841 + 2601 = 471^2 + 51^2 .

It is a super-2 number, since 2×224442² = 100748422728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (224443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 498 + ... + 834.

2²²⁴⁴⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250458).

224442 is an abundant number, since it is smaller than the sum of its proper divisors (276474).

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

224442 is a wasteful number, since it uses less digits than its factorization.

224442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 379 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 224442 is about 473.7531002537. The cubic root of 224442 is about 60.7716987975.

Adding to 224442 its reverse (244422), we get a palindrome (468864).

It can be divided in two parts, 224 and 442, that added together give a palindrome (666).

The spelling of 224442 in words is "two hundred twenty-four thousand, four hundred forty-two", and thus it is an iban number.