222824 has 32 divisors (see below), whose sum is σ = 501120. Its totient is φ = 90816.

The previous prime is 222823. The next prime is 222839. The reversal of 222824 is 428222.

222824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 222796 and 222805.

It is not an unprimeable number, because it can be changed into a prime (222823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (15660).

2²²²⁸²⁴ 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 222824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250560).

222824 is an abundant number, since it is smaller than the sum of its proper divisors (278296).

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

222824 is a wasteful number, since it uses less digits than its factorization.

222824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 222824 is about 472.0423709796. The cubic root of 222824 is about 60.6253122880.

It can be divided in two parts, 22 and 2824, that multiplied together give a triangular number (62128 = T₃₅₂).

The spelling of 222824 in words is "two hundred twenty-two thousand, eight hundred twenty-four".