33220096 has 160 divisors (see below), whose sum is σ = 87994368. Its totient is φ = 12165120.

The previous prime is 33220093. The next prime is 33220097. The reversal of 33220096 is 69002233.

It is a super-2 number, since 2×33220096² = 2207149556498432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33220096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071601 + ... + 1071631.

Almost surely, 2^33220096 is an apocalyptic number.

33220096 is the 3328-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43997184).

33220096 is an abundant number, since it is smaller than the sum of its proper divisors (54774272).

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

33220096 is a wasteful number, since it uses less digits than its factorization.

33220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 33220096 is about 5763.6877084034. The cubic root of 33220096 is about 321.4649499379.

The spelling of 33220096 in words is "thirty-three million, two hundred twenty thousand, ninety-six".