33229152 has 144 divisors (see below), whose sum is σ = 109326672. Its totient is φ = 9461760.

The previous prime is 33229151. The next prime is 33229177. The reversal of 33229152 is 25192233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33229152² = 2208353085278208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33229151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53548 + ... + 54164.

It is an arithmetic number, because the mean of its divisors is an integer number (759213).

Almost surely, 2^33229152 is an apocalyptic number.

33229152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33229152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54663336).

33229152 is an abundant number, since it is smaller than the sum of its proper divisors (76097520).

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

33229152 is a wasteful number, since it uses less digits than its factorization.

33229152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 33229152 is about 5764.4732630137. The cubic root of 33229152 is about 321.4941583834.

The spelling of 33229152 in words is "thirty-three million, two hundred twenty-nine thousand, one hundred fifty-two".