33220152 has 128 divisors (see below), whose sum is σ = 106905600. Its totient is φ = 9362304.

The previous prime is 33220139. The next prime is 33220157. The reversal of 33220152 is 25102233.

It is a super-2 number, since 2×33220152² = 2207156997806208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191938 + ... + 192110.

It is an arithmetic number, because the mean of its divisors is an integer number (835200).

Almost surely, 2^33220152 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 33220152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53452800).

33220152 is an abundant number, since it is smaller than the sum of its proper divisors (73685448).

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

33220152 is a wasteful number, since it uses less digits than its factorization.

33220152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 33220152 is about 5763.6925664022. The cubic root of 33220152 is about 321.4651305718.

Adding to 33220152 its reverse (25102233), we get a palindrome (58322385).

The spelling of 33220152 in words is "thirty-three million, two hundred twenty thousand, one hundred fifty-two".