33201220 has 48 divisors (see below), whose sum is σ = 75520368. Its totient is φ = 12188160.

The previous prime is 33201193. The next prime is 33201239. The reversal of 33201220 is 2210233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8678916 + 24522304 = 2946^2 + 4952^2 .

It is a super-2 number, since 2×33201220² = 2204642018976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 33201220.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71790 + ... + 72250.

It is an arithmetic number, because the mean of its divisors is an integer number (1573341).

Almost surely, 2^33201220 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 33201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37760184).

33201220 is an abundant number, since it is smaller than the sum of its proper divisors (42319148).

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

33201220 is a wasteful number, since it uses less digits than its factorization.

33201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 33201220 is about 5762.0499824281. The cubic root of 33201220 is about 321.4040518392.

Adding to 33201220 its reverse (2210233), we get a palindrome (35411453).

The spelling of 33201220 in words is "thirty-three million, two hundred one thousand, two hundred twenty".