Base | Representation |
---|---|
bin | 1000110110111110010000 |
3 | 11100222121212 |
4 | 20312332100 |
5 | 1043303240 |
6 | 121435252 |
7 | 25511420 |
oct | 10667620 |
9 | 4328555 |
10 | 2322320 |
11 | 1346880 |
12 | 93bb28 |
13 | 634070 |
14 | 446480 |
15 | 30d165 |
hex | 236f90 |
2322320 has 160 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 645120.
The previous prime is 2322283. The next prime is 2322337. The reversal of 2322320 is 232232.
2322320 = T84 + T85 + ... + T243.
2322320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 2322295 and 2322304.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 80066 + ... + 80094.
It is an arithmetic number, because the mean of its divisors is an integer number (46872).
22322320 is an apocalyptic number.
2322320 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 2322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).
2322320 is an abundant number, since it is smaller than the sum of its proper divisors (5177200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2322320 is a wasteful number, since it uses less digits than its factorization.
2322320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 2322320 is about 1523.9160081842. The cubic root of 2322320 is about 132.4262316326.
Adding to 2322320 its reverse (232232), we get a palindrome (2554552).
It can be divided in two parts, 232 and 2320, that added together give a palindrome (2552).
The spelling of 2322320 in words is "two million, three hundred twenty-two thousand, three hundred twenty".
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