33224752 has 40 divisors (see below), whose sum is σ = 70566912. Its totient is φ = 15028800.

The previous prime is 33224747. The next prime is 33224759. The reversal of 33224752 is 25742233.

It is a super-2 number, since 2×33224752² = 2207768290923008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33224752.

It is not an unprimeable number, because it can be changed into a prime (33224759) 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, 54433 + ... + 55039.

Almost surely, 2^33224752 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 33224752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35283456).

33224752 is an abundant number, since it is smaller than the sum of its proper divisors (37342160).

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

33224752 is a wasteful number, since it uses less digits than its factorization.

33224752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its digits is 10080, while the sum is 28.

The square root of 33224752 is about 5764.0916023256. The cubic root of 33224752 is about 321.4799676638.

Adding to 33224752 its reverse (25742233), we get a palindrome (58966985).

It can be divided in two parts, 33 and 224752, that added together give a triangular number (224785 = T₆₇₀).

The spelling of 33224752 in words is "thirty-three million, two hundred twenty-four thousand, seven hundred fifty-two".