33220980 has 72 divisors (see below), whose sum is σ = 108529512. Its totient is φ = 8176896.

The previous prime is 33220973. The next prime is 33220981. The reversal of 33220980 is 8902233.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 26440164 = 2604^2 + 5142^2 .

It is a super-2 number, since 2×33220980² = 2207267024320800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220981) 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, 4759 + ... + 9438.

Almost surely, 2^33220980 is an apocalyptic number.

33220980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33220980 is an abundant number, since it is smaller than the sum of its proper divisors (75308532).

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

33220980 is a wasteful number, since it uses less digits than its factorization.

33220980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14225 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 33220980 is about 5763.7643949072. The cubic root of 33220980 is about 321.4678013494.

It can be divided in two parts, 332 and 20980, that added together give a palindrome (21312).

The spelling of 33220980 in words is "thirty-three million, two hundred twenty thousand, nine hundred eighty".