Base | Representation |
---|---|
bin | 1000011011100101000000 |
3 | 11011021201000 |
4 | 20123211000 |
5 | 1031210422 |
6 | 115212000 |
7 | 24533322 |
oct | 10334500 |
9 | 4137630 |
10 | 2210112 |
11 | 127a543 |
12 | 8a7000 |
13 | 5c4c78 |
14 | 417612 |
15 | 2d9cac |
hex | 21b940 |
2210112 has 56 divisors (see below), whose sum is σ = 6502400. Its totient is φ = 736128.
The previous prime is 2210107. The next prime is 2210141. The reversal of 2210112 is 2110122.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2210094 and 2210103.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089 + ... + 2367.
22210112 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 2210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251200).
2210112 is an abundant number, since it is smaller than the sum of its proper divisors (4292288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210112 is a wasteful number, since it uses less digits than its factorization.
2210112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1300 (or 1284 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2210112 is about 1486.6445439311. The cubic root of 2210112 is about 130.2581065365.
Adding to 2210112 its reverse (2110122), we get a palindrome (4320234).
The spelling of 2210112 in words is "two million, two hundred ten thousand, one hundred twelve".
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