33822144 has 168 divisors, whose sum is σ = 106751120. Its totient is φ = 10492416.

The previous prime is 33822137. The next prime is 33822157. The reversal of 33822144 is 44122833.

It is a super-2 number, since 2×33822144² = 2287874849513472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914094 + ... + 914130.

Almost surely, 2^33822144 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 33822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53375560).

33822144 is an abundant number, since it is smaller than the sum of its proper divisors (72928976).

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

33822144 is a wasteful number, since it uses less digits than its factorization.

33822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 33822144 is about 5815.6808715747. The cubic root of 33822144 is about 323.3953056068.

Adding to 33822144 its reverse (44122833), we get a palindrome (77944977).

The spelling of 33822144 in words is "thirty-three million, eight hundred twenty-two thousand, one hundred forty-four".