33220021000 has 64 divisors (see below), whose sum is σ = 77783574960. Its totient is φ = 13279680000.

The previous prime is 33220020959. The next prime is 33220021001. The reversal of 33220021000 is 12002233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4505362884 + 28714658116 = 67122^2 + 169454^2 .

It is a super-2 number, since 2×33220021000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33220021001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731460 + ... + 1750540.

Almost surely, 2^33220021000 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 33220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38891787480).

33220021000 is an abundant number, since it is smaller than the sum of its proper divisors (44563553960).

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

33220021000 is a wasteful number, since it uses less digits than its factorization.

33220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20843 (or 20829 counting only the distinct ones).

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

Adding to 33220021000 its reverse (12002233), we get a palindrome (33232023233).

The spelling of 33220021000 in words is "thirty-three billion, two hundred twenty million, twenty-one thousand".