3333224223333 has 48 divisors (see below), whose sum is σ = 5022265098240. Its totient is φ = 2127865248000.

The previous prime is 3333224223319. The next prime is 3333224223341.

3333224223333 is a `hidden beast` number, since 3 + 33 + 32 + 242 + 23 + 333 = 666.

3333224223333 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3333224223333 - 2⁴ = 3333224223317 is a prime.

It is a super-2 number, since 2×3333224223333² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333224223313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46826113 + ... + 46897241.

It is an arithmetic number, because the mean of its divisors is an integer number (104630522880).

Almost surely, 2^{3333224223333} is an apocalyptic number.

It is an amenable number.

3333224223333 is a deficient number, since it is larger than the sum of its proper divisors (1689040874907).

3333224223333 is a wasteful number, since it uses less digits than its factorization.

3333224223333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72930 (or 72927 counting only the distinct ones).

The product of its digits is 419904, while the sum is 36.

The spelling of 3333224223333 in words is "three trillion, three hundred thirty-three billion, two hundred twenty-four million, two hundred twenty-three thousand, three hundred thirty-three".