Base | Representation |
---|---|
bin | 1000001111011010… |
… | …0101000111110010 |
3 | 12201011111111110000 |
4 | 2003312211013302 |
5 | 14012300414442 |
6 | 1003301250430 |
7 | 105550510356 |
oct | 20366450762 |
9 | 5634444400 |
10 | 2212123122 |
11 | a3575a930 |
12 | 518a03a16 |
13 | 2933b76c1 |
14 | 16db15466 |
15 | ce313d4c |
hex | 83da51f2 |
2212123122 has 80 divisors (see below), whose sum is σ = 5443884864. Its totient is φ = 665820000.
The previous prime is 2212123099. The next prime is 2212123153. The reversal of 2212123122 is 2213212122.
2212123122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
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.
It is a junction number, because it is equal to n+sod(n) for n = 2212123095 and 2212123104.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264972 + ... + 273192.
Almost surely, 22212123122 is an apocalyptic number.
2212123122 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 2212123122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721942432).
2212123122 is an abundant number, since it is smaller than the sum of its proper divisors (3231761742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212123122 is a wasteful number, since it uses less digits than its factorization.
2212123122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8397 (or 8388 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 2212123122 is about 47033.2129670087. The cubic root of 2212123122 is about 1302.9760461389.
Adding to 2212123122 its reverse (2213212122), we get a palindrome (4425335244).
The spelling of 2212123122 in words is "two billion, two hundred twelve million, one hundred twenty-three thousand, one hundred twenty-two".
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