33222144 has 80 divisors (see below), whose sum is σ = 90744192. Its totient is φ = 10795008.

The previous prime is 33222121. The next prime is 33222157. The reversal of 33222144 is 44122233.

It is a super-2 number, since 2×33222144² = 2207421703913472, which contains 22 as substring.

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 33222144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65797 + ... + 66299.

Almost surely, 2^33222144 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 33222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

33222144 is an abundant number, since it is smaller than the sum of its proper divisors (57522048).

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

33222144 is an equidigital number, since it uses as much as digits as its factorization.

33222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 33222144 is about 5763.8653696977. The cubic root of 33222144 is about 321.4715558458.

Adding to 33222144 its reverse (44122233), we get a palindrome (77344377).

The spelling of 33222144 in words is "thirty-three million, two hundred twenty-two thousand, one hundred forty-four".