33022100 has 36 divisors (see below), whose sum is σ = 72682848. Its totient is φ = 13020000.

The previous prime is 33022081. The next prime is 33022111. The reversal of 33022100 is 122033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4775 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (2018968).

Almost surely, 2^33022100 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 33022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36341424).

33022100 is an abundant number, since it is smaller than the sum of its proper divisors (39660748).

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

33022100 is a wasteful number, since it uses less digits than its factorization.

33022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4729 counting only the distinct ones).

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

The square root of 33022100 is about 5746.4858826939. The cubic root of 33022100 is about 320.8250195556.

Adding to 33022100 its reverse (122033), we get a palindrome (33144133).

The spelling of 33022100 in words is "thirty-three million, twenty-two thousand, one hundred".