33229952 has 32 divisors (see below), whose sum is σ = 75659520. Its totient is φ = 14241024.

The previous prime is 33229943. The next prime is 33229957. The reversal of 33229952 is 25992233.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33229952² = 2208459419844608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33229957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17648 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (2364360).

Almost surely, 2^33229952 is an apocalyptic number.

33229952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33229952 is an abundant number, since it is smaller than the sum of its proper divisors (42429568).

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

33229952 is an equidigital number, since it uses as much as digits as its factorization.

33229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37108 (or 37096 counting only the distinct ones).

The product of its digits is 29160, while the sum is 35.

The square root of 33229952 is about 5764.5426531512. The cubic root of 33229952 is about 321.4967383796.

The spelling of 33229952 in words is "thirty-three million, two hundred twenty-nine thousand, nine hundred fifty-two".