238224 has 40 divisors (see below), whose sum is σ = 704320. Its totient is φ = 67968.

The previous prime is 238223. The next prime is 238229. The reversal of 238224 is 422832.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 238224.

It is not an unprimeable number, because it can be changed into a prime (238223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (17608).

2²³⁸²²⁴ is an apocalyptic number.

238224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352160).

238224 is an abundant number, since it is smaller than the sum of its proper divisors (466096).

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

238224 is a wasteful number, since it uses less digits than its factorization.

238224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

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

The square root of 238224 is about 488.0819603304. The cubic root of 238224 is about 61.9909803043.

It can be divided in two parts, 2 and 38224, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 238224 in words is "two hundred thirty-eight thousand, two hundred twenty-four".