33221248 has 64 divisors (see below), whose sum is σ = 69400800. Its totient is φ = 15827968.

The previous prime is 33221197. The next prime is 33221249. The reversal of 33221248 is 84212233.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33221248² = 2207302637355008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33221249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400215 + ... + 400297.

Almost surely, 2^33221248 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 33221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400).

33221248 is an abundant number, since it is smaller than the sum of its proper divisors (36179552).

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

33221248 is an equidigital number, since it uses as much as digits as its factorization.

33221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 33221248 is about 5763.7876435552. The cubic root of 33221248 is about 321.4686657945.

It can be divided in two parts, 332 and 21248, that multiplied together give a square (7054336 = 2656²).

The spelling of 33221248 in words is "thirty-three million, two hundred twenty-one thousand, two hundred forty-eight".