33222100 has 18 divisors (see below), whose sum is σ = 72092174. Its totient is φ = 13288800.

The previous prime is 33222073. The next prime is 33222103. The reversal of 33222100 is 122233.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6140484 + 27081616 = 2478^2 + 5204^2 .

It is a super-2 number, since 2×33222100² = 2207415856820000, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166011 + ... + 166210.

Almost surely, 2^33222100 is an apocalyptic number.

It is an amenable number.

33222100 is an abundant number, since it is smaller than the sum of its proper divisors (38870074).

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

33222100 is a wasteful number, since it uses less digits than its factorization.

33222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332235 (or 332228 counting only the distinct ones).

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

The square root of 33222100 is about 5763.8615528134. The cubic root of 33222100 is about 321.4714139249.

Adding to 33222100 its reverse (122233), we get a palindrome (33344333).

The spelling of 33222100 in words is "thirty-three million, two hundred twenty-two thousand, one hundred".