33224904 has 80 divisors (see below), whose sum is σ = 93886320. Its totient is φ = 11022480.

The previous prime is 33224897. The next prime is 33224909. The reversal of 33224904 is 40942233.

It is a happy number.

It is a super-2 number, since 2×33224904² = 2207788491618432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33224909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157359 + ... + 157569.

It is an arithmetic number, because the mean of its divisors is an integer number (1173579).

Almost surely, 2^33224904 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 33224904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46943160).

33224904 is an abundant number, since it is smaller than the sum of its proper divisors (60661416).

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

33224904 is an frugal number, since it uses more digits than its factorization.

33224904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33224904 is about 5764.1047873889. The cubic root of 33224904 is about 321.4804579095.

The spelling of 33224904 in words is "thirty-three million, two hundred twenty-four thousand, nine hundred four".