224238 has 32 divisors (see below), whose sum is σ = 541440. Its totient is φ = 60480.

The previous prime is 224233. The next prime is 224239. The reversal of 224238 is 832422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (16920).

2²²⁴²³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270720).

224238 is an abundant number, since it is smaller than the sum of its proper divisors (317202).

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

224238 is a wasteful number, since it uses less digits than its factorization.

224238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 768, while the sum is 21.

The square root of 224238 is about 473.5377492872. The cubic root of 224238 is about 60.7532809961.

The spelling of 224238 in words is "two hundred twenty-four thousand, two hundred thirty-eight".