Base | Representation |
---|---|
bin | 1000110110111011001000 |
3 | 11100222100110 |
4 | 20312323020 |
5 | 1043301440 |
6 | 121434320 |
7 | 25511013 |
oct | 10667310 |
9 | 4328313 |
10 | 2322120 |
11 | 1346709 |
12 | 93b9a0 |
13 | 633c48 |
14 | 44637a |
15 | 30d080 |
hex | 236ec8 |
2322120 has 64 divisors (see below), whose sum is σ = 7168320. Its totient is φ = 601344.
The previous prime is 2322119. The next prime is 2322121. The reversal of 2322120 is 212232.
2322120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2322119) and next prime (2322121).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 2322096 and 2322105.
It is not an unprimeable number, because it can be changed into a prime (2322121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4179 + ... + 4701.
It is an arithmetic number, because the mean of its divisors is an integer number (112005).
22322120 is an apocalyptic number.
2322120 is a gapful number since it is divisible by the number (20) 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 2322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584160).
2322120 is an abundant number, since it is smaller than the sum of its proper divisors (4846200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2322120 is a wasteful number, since it uses less digits than its factorization.
2322120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 574 (or 570 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 2322120 is about 1523.8503863569. The cubic root of 2322120 is about 132.4224299735.
Adding to 2322120 its reverse (212232), we get a palindrome (2534352).
It can be divided in two parts, 2322 and 120, that added together give a palindrome (2442).
The spelling of 2322120 in words is "two million, three hundred twenty-two thousand, one hundred twenty".
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