Base | Representation |
---|---|
bin | 1000010001110100000000 |
3 | 11002020211112 |
4 | 20101310000 |
5 | 1023420422 |
6 | 114302452 |
7 | 24305600 |
oct | 10216400 |
9 | 4066745 |
10 | 2170112 |
11 | 125248a |
12 | 887a28 |
13 | 5ac9b9 |
14 | 406c00 |
15 | 2ccee2 |
hex | 211d00 |
2170112 has 54 divisors (see below), whose sum is σ = 5068098. Its totient is φ = 924672.
The previous prime is 2170111. The next prime is 2170117. The reversal of 2170112 is 2110712.
It can be written as a sum of positive squares in only one way, i.e., 2119936 + 50176 = 1456^2 + 224^2 .
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2170111) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12458 + ... + 12630.
22170112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2170112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534049).
2170112 is an abundant number, since it is smaller than the sum of its proper divisors (2897986).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2170112 is an equidigital number, since it uses as much as digits as its factorization.
2170112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 203 (or 182 counting only the distinct ones).
The product of its (nonzero) digits is 28, while the sum is 14.
The square root of 2170112 is about 1473.1300010522. The cubic root of 2170112 is about 129.4674863590.
Adding to 2170112 its reverse (2110712), we get a palindrome (4280824).
The spelling of 2170112 in words is "two million, one hundred seventy thousand, one hundred twelve".
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