33220100 has 18 divisors (see below), whose sum is σ = 72087834. Its totient is φ = 13288000.

The previous prime is 33220097. The next prime is 33220129. The reversal of 33220100 is 102233.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 33154564 = 256^2 + 5758^2 .

It is a super-2 number, since 2×33220100² = 2207150088020000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 166001 + ... + 166200.

Almost surely, 2^33220100 is an apocalyptic number.

It is an amenable number.

33220100 is an abundant number, since it is smaller than the sum of its proper divisors (38867734).

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

33220100 is a wasteful number, since it uses less digits than its factorization.

33220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332215 (or 332208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33220100 is about 5763.6880554034. The cubic root of 33220100 is about 321.4649628403.

Adding to 33220100 its reverse (102233), we get a palindrome (33322333).

The spelling of 33220100 in words is "thirty-three million, two hundred twenty thousand, one hundred".