222432 has 48 divisors (see below), whose sum is σ = 669312. Its totient is φ = 63360.

The previous prime is 222419. The next prime is 222437. The reversal of 222432 is 234222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×222432³ = 33015133308616704, which contains 333 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222437) by changing a digit.

222432 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, 507 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (13944).

2²²²⁴³² 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 222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334656).

222432 is an abundant number, since it is smaller than the sum of its proper divisors (446880).

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

222432 is a wasteful number, since it uses less digits than its factorization.

222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 222432 is about 471.6269712389. The cubic root of 222432 is about 60.5897400095.

Adding to 222432 its reverse (234222), we get a palindrome (456654).

The spelling of 222432 in words is "two hundred twenty-two thousand, four hundred thirty-two".