33222 has 24 divisors (see below), whose sum is σ = 77976. Its totient is φ = 9408.

The previous prime is 33211. The next prime is 33223. The reversal of 33222 is 22233.

It is a super-2 number, since 2×33222² = 2207402568, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3⁴ + 3⁵ + 2 + 2⁷ + 2¹⁵ .

33222 is an undulating number in base 15.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 33198 and 33207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33223) by changing a digit.

33222 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 11 ways as a sum of consecutive naturals, for example, 238 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (3249).

2³³²²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988).

33222 is an abundant number, since it is smaller than the sum of its proper divisors (44754).

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

33222 is a wasteful number, since it uses less digits than its factorization.

33222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 72, while the sum is 12.

The square root of 33222 is about 182.2690319281. The cubic root of 33222 is about 32.1471091377.

Adding to 33222 its reverse (22233), we get a palindrome (55455).

The spelling of 33222 in words is "thirty-three thousand, two hundred twenty-two".