235224 has 72 divisors (see below), whose sum is σ = 726180. Its totient is φ = 71280.

The previous prime is 235211. The next prime is 235231. The reversal of 235224 is 422532.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Cunningham number, because it is equal to 485²-1.

It is a tau number, because it is divible by the number of its divisors (72).

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

Its product of digits (480) is a multiple of the sum of its prime divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 235197 and 235206.

It is a congruent number.

It is an unprimeable number.

235224 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 17 ways as a sum of consecutive naturals, for example, 21379 + ... + 21389.

235224 is a Friedman number, since it can be written as 54*(22*3)^2, using all its digits and the basic arithmetic operations.

2²³⁵²²⁴ is an apocalyptic number.

235224 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 235224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363090).

235224 is an abundant number, since it is smaller than the sum of its proper divisors (490956).

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

235224 is a wasteful number, since it uses less digits than its factorization.

235224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 16 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 235224 is about 484.9989690711. The cubic root of 235224 is about 61.7296588686.

Adding to 235224 its reverse (422532), we get a palindrome (657756).

The spelling of 235224 in words is "two hundred thirty-five thousand, two hundred twenty-four".