Base | Representation |
---|---|
bin | 11110111100001101… |
… | …011110111011011001 |
3 | 10011202022211220122201 |
4 | 132330031132323121 |
5 | 1021014420002413 |
6 | 23132343450201 |
7 | 2254165633600 |
oct | 367415367331 |
9 | 104668756581 |
10 | 33222422233 |
11 | 130a9211600 |
12 | 6532156961 |
13 | 3195b84710 |
14 | 18723cca37 |
15 | ce69a59dd |
hex | 7bc35eed9 |
33222422233 has 36 divisors (see below), whose sum is σ = 45746938020. Its totient is φ = 23896192320.
The previous prime is 33222422179. The next prime is 33222422249.
33222422233 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 7964313049 + 25258109184 = 89243^2 + 158928^2 .
It is a de Polignac number, because none of the positive numbers 2k-33222422233 is a prime.
It is a super-2 number, since 2×332224222332 (a number of 22 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (33222422293) 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 35 ways as a sum of consecutive naturals, for example, 138438 + ... + 292591.
Almost surely, 233222422233 is an apocalyptic number.
It is an amenable number.
33222422233 is a deficient number, since it is larger than the sum of its proper divisors (12524515787).
33222422233 is a wasteful number, since it uses less digits than its factorization.
33222422233 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 431078 (or 431060 counting only the distinct ones).
The product of its digits is 20736, while the sum is 28.
The spelling of 33222422233 in words is "thirty-three billion, two hundred twenty-two million, four hundred twenty-two thousand, two hundred thirty-three".
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