33222432 has 48 divisors (see below), whose sum is σ = 87599232. Its totient is φ = 11024640.

The previous prime is 33222407. The next prime is 33222433. The reversal of 33222432 is 23422233.

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

It is a super-2 number, since 2×33222432² = 2207459975989248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33222399 and 33222408.

It is not an unprimeable number, because it can be changed into a prime (33222433) 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, 25378 + ... + 26654.

It is an arithmetic number, because the mean of its divisors is an integer number (1824984).

Almost surely, 2^33222432 is an apocalyptic number.

33222432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33222432 is an abundant number, since it is smaller than the sum of its proper divisors (54376800).

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

33222432 is a wasteful number, since it uses less digits than its factorization.

33222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1553 counting only the distinct ones).

The product of its digits is 1728, while the sum is 21.

The square root of 33222432 is about 5763.8903528780. The cubic root of 33222432 is about 321.4724847799.

Adding to 33222432 its reverse (23422233), we get a palindrome (56644665).

The spelling of 33222432 in words is "thirty-three million, two hundred twenty-two thousand, four hundred thirty-two".