33220022002233 has 96 divisors (see below), whose sum is σ = 50540814259200. Its totient is φ = 19225762080000.

The previous prime is 33220022002229. The next prime is 33220022002249.

33220022002233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33220022002233 - 2² = 33220022002229 is a prime.

It is a super-2 number, since 2×33220022002233² (a number of 28 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33220022002273) 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 95 ways as a sum of consecutive naturals, for example, 17679627588 + ... + 17679629466.

It is an arithmetic number, because the mean of its divisors is an integer number (526466815200).

Almost surely, 2^{33220022002233} is an apocalyptic number.

33220022002233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33220022002233 is a deficient number, since it is larger than the sum of its proper divisors (17320792256967).

33220022002233 is a wasteful number, since it uses less digits than its factorization.

33220022002233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 3322002 and 2002233, that added together give a palindrome (5324235).

The spelling of 33220022002233 in words is "thirty-three trillion, two hundred twenty billion, twenty-two million, two thousand, two hundred thirty-three".