33220000333002 has 128 divisors (see below), whose sum is σ = 80397891624960. Its totient is φ = 8939032058880.

The previous prime is 33220000332979. The next prime is 33220000333007. The reversal of 33220000333002 is 20033300002233.

It is a super-3 number, since 3×33220000333002³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 33220000333002.

It is not an unprimeable number, because it can be changed into a prime (33220000333007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422730738 + ... + 422809314.

It is an arithmetic number, because the mean of its divisors is an integer number (628108528320).

Almost surely, 2^{33220000333002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220000333002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40198945812480).

33220000333002 is an abundant number, since it is smaller than the sum of its proper divisors (47177891291958).

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

33220000333002 is a wasteful number, since it uses less digits than its factorization.

33220000333002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81716.

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 33220000333002 its reverse (20033300002233), we get a palindrome (53253300335235).

The spelling of 33220000333002 in words is "thirty-three trillion, two hundred twenty billion, three hundred thirty-three thousand, two".