Base | Representation |
---|---|
bin | 101010010110… |
… | …0001100011100 |
3 | 1112202221012120 |
4 | 1110230030130 |
5 | 21140413431 |
6 | 2111502540 |
7 | 356464200 |
oct | 124541434 |
9 | 45687176 |
10 | 22201116 |
11 | 11594033 |
12 | 7527a50 |
13 | 47a4272 |
14 | 2d3cb00 |
15 | 1e38196 |
hex | 152c31c |
22201116 has 72 divisors (see below), whose sum is σ = 63833616. Its totient is φ = 5967360.
The previous prime is 22201111. The next prime is 22201121. The reversal of 22201116 is 61110222.
22201116 is a nontrivial binomial coefficient, being equal to C(6664, 2).
It is an interprime number because it is at equal distance from previous prime (22201111) and next prime (22201121).
It is a super-3 number, since 3×222011163 (a number of 23 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22201095 and 22201104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22201111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8886 + ... + 11106.
It is an arithmetic number, because the mean of its divisors is an integer number (886578).
Almost surely, 222201116 is an apocalyptic number.
22201116 is the 6663-rd triangular number and also the 3332-nd hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22201116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31916808).
22201116 is an abundant number, since it is smaller than the sum of its proper divisors (41632500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22201116 is a wasteful number, since it uses less digits than its factorization.
22201116 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2259 (or 2250 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 22201116 is about 4711.8060231720. The cubic root of 22201116 is about 281.0551851866.
Adding to 22201116 its reverse (61110222), we get a palindrome (83311338).
The spelling of 22201116 in words is "twenty-two million, two hundred one thousand, one hundred sixteen".
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