Base | Representation |
---|---|
bin | 1000011100000100011010 |
3 | 11011101110110 |
4 | 20130010122 |
5 | 1031241442 |
6 | 115225150 |
7 | 24542223 |
oct | 10340432 |
9 | 4141413 |
10 | 2212122 |
11 | 1281000 |
12 | 8a81b6 |
13 | 5c5b63 |
14 | 41824a |
15 | 2da69c |
hex | 21c11a |
2212122 has 32 divisors (see below), whose sum is σ = 4883904. Its totient is φ = 667920.
The previous prime is 2212099. The next prime is 2212123.
2212122 is nontrivially palindromic in base 10.
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 = 2212098 and 2212107.
It is not an unprimeable number, because it can be changed into a prime (2212123) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7848 + ... + 8124.
It is an arithmetic number, because the mean of its divisors is an integer number (152622).
22212122 is an apocalyptic number.
2212122 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 2212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441952).
2212122 is an abundant number, since it is smaller than the sum of its proper divisors (2671782).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212122 is a wasteful number, since it uses less digits than its factorization.
2212122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 315 (or 293 counting only the distinct ones).
The product of its digits is 32, while the sum is 12.
The square root of 2212122 is about 1487.3204093268. The cubic root of 2212122 is about 130.2975825847.
The spelling of 2212122 in words is "two million, two hundred twelve thousand, one hundred twenty-two".
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