Base | Representation |
---|---|
bin | 111110111100101… |
… | …1111010000001110 |
3 | 12110012112000011200 |
4 | 1331321133100032 |
5 | 13311212102342 |
6 | 545332130330 |
7 | 103225410165 |
oct | 17571372016 |
9 | 5405460150 |
10 | 2112222222 |
11 | 994326900 |
12 | 4ab4669a6 |
13 | 2787aa046 |
14 | 16074c3dc |
15 | c567d94c |
hex | 7de5f40e |
2112222222 has 72 divisors (see below), whose sum is σ = 5326343568. Its totient is φ = 602405760.
The previous prime is 2112222209. The next prime is 2112222251. The reversal of 2112222222 is 2222222112.
It is a super-2 number, since 2×21122222222 = 8922965430221234568, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
2112222222 is a modest number, since divided by 22222 gives 21122 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 2112222195 and 2112222204.
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 8503 + ... + 65549.
It is an arithmetic number, because the mean of its divisors is an integer number (73976994).
Almost surely, 22112222222 is an apocalyptic number.
2112222222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2112222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663171784).
2112222222 is an abundant number, since it is smaller than the sum of its proper divisors (3214121346).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112222222 is a wasteful number, since it uses less digits than its factorization.
2112222222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57094 (or 57080 counting only the distinct ones).
The product of its digits is 256, while the sum is 18.
The square root of 2112222222 is about 45958.9188515135. The cubic root of 2112222222 is about 1283.0587294539.
Adding to 2112222222 its reverse (2222222112), we get a palindrome (4334444334).
It can be divided in two parts, 211222 and 2222, that added together give a square (213444 = 4622).
The spelling of 2112222222 in words is "two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twenty-two".
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