33222313000 has 128 divisors (see below), whose sum is σ = 80571348000. Its totient is φ = 12806707200.

The previous prime is 33222312967. The next prime is 33222313021. The reversal of 33222313000 is 31322233.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1732390884 + 31489922116 = 41622^2 + 177454^2 .

It is a super-2 number, since 2×33222313000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29956446 + ... + 29957554.

Almost surely, 2^33222313000 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 33222313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40285674000).

33222313000 is an abundant number, since it is smaller than the sum of its proper divisors (47349035000).

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

33222313000 is a wasteful number, since it uses less digits than its factorization.

33222313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 33222313000 its reverse (31322233), we get a palindrome (33253635233).

The spelling of 33222313000 in words is "thirty-three billion, two hundred twenty-two million, three hundred thirteen thousand".