33220 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 12000.

The previous prime is 33211. The next prime is 33223. The reversal of 33220 is 2233.

It is a super-2 number, since 2×33220² = 2207136800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a d-powerful number, because it can be written as 3⁴ + 3⁵ + 2⁷ + 2¹⁵ + 0 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 33197 and 33206.

It is not an unprimeable number, because it can be changed into a prime (33223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

2³³²²⁰ 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 33220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

33220 is an abundant number, since it is smaller than the sum of its proper divisors (43388).

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

33220 is a wasteful number, since it uses less digits than its factorization.

33220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33220 is about 182.2635454500. The cubic root of 33220 is about 32.1464640279.

Adding to 33220 its reverse (2233), we get a palindrome (35453).

It can be divided in two parts, 33 and 220, that multiplied together give a triangular number (7260 = T₁₂₀).

The spelling of 33220 in words is "thirty-three thousand, two hundred twenty".