Base | Representation |
---|---|
bin | 1001001111010101100000 |
3 | 11120001111212 |
4 | 21033111200 |
5 | 1110001422 |
6 | 123525252 |
7 | 26405360 |
oct | 11172540 |
9 | 4501455 |
10 | 2422112 |
11 | 1404850 |
12 | 989828 |
13 | 66a604 |
14 | 4709a0 |
15 | 32c9e2 |
hex | 24f560 |
2422112 has 48 divisors (see below), whose sum is σ = 5951232. Its totient is φ = 942720.
The previous prime is 2422111. The next prime is 2422169. The reversal of 2422112 is 2112242.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2422111) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1973 + ... + 2955.
It is an arithmetic number, because the mean of its divisors is an integer number (123984).
22422112 is an apocalyptic number.
2422112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975616).
2422112 is an abundant number, since it is smaller than the sum of its proper divisors (3529120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2422112 is a wasteful number, since it uses less digits than its factorization.
2422112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).
The product of its digits is 64, while the sum is 14.
The square root of 2422112 is about 1556.3135930782. The cubic root of 2422112 is about 134.2965142535.
Adding to 2422112 its reverse (2112242), we get a palindrome (4534354).
The spelling of 2422112 in words is "two million, four hundred twenty-two thousand, one hundred twelve".
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