Base | Representation |
---|---|
bin | 11010011110011… |
… | …11101000111111 |
3 | 120110220211222002 |
4 | 31033033220333 |
5 | 423324200111 |
6 | 34012212515 |
7 | 5334550646 |
oct | 1517175077 |
9 | 513824862 |
10 | 222100031 |
11 | 10440804a |
12 | 6246a13b |
13 | 3702454a |
14 | 216d635d |
15 | 1477263b |
hex | d3cfa3f |
222100031 has 12 divisors (see below), whose sum is σ = 229613328. Its totient is φ = 214812864.
The previous prime is 222099991. The next prime is 222100037. The reversal of 222100031 is 130001222.
It is a happy number.
It is not a de Polignac number, because 222100031 - 218 = 221837887 is a prime.
It is a super-3 number, since 3×2221000313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 222099985 and 222100021.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222100037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208406 + ... + 209468.
It is an arithmetic number, because the mean of its divisors is an integer number (19134444).
Almost surely, 2222100031 is an apocalyptic number.
222100031 is a deficient number, since it is larger than the sum of its proper divisors (7513297).
222100031 is a wasteful number, since it uses less digits than its factorization.
222100031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1262 (or 1219 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 222100031 is about 14903.0208682669. The cubic root of 222100031 is about 605.5958258299.
Adding to 222100031 its reverse (130001222), we get a palindrome (352101253).
The spelling of 222100031 in words is "two hundred twenty-two million, one hundred thousand, thirty-one".
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