Base | Representation |
---|---|
bin | 111101101101111110000 |
3 | 10210202012010 |
4 | 13231233300 |
5 | 1004204014 |
6 | 111202520 |
7 | 23122110 |
oct | 7555760 |
9 | 3722163 |
10 | 2022384 |
11 | 11614a1 |
12 | 816440 |
13 | 55a6a0 |
14 | 3a9040 |
15 | 29e359 |
hex | 1edbf0 |
2022384 has 80 divisors (see below), whose sum is σ = 6444032. Its totient is φ = 532224.
The previous prime is 2022359. The next prime is 2022389. The reversal of 2022384 is 4832202.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 2022384.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2022389) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4137 + ... + 4599.
22022384 is an apocalyptic number.
2022384 is a gapful number since it is divisible by the number (24) 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 2022384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222016).
2022384 is an abundant number, since it is smaller than the sum of its proper divisors (4421648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022384 is a wasteful number, since it uses less digits than its factorization.
2022384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 494 (or 488 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 21.
The square root of 2022384 is about 1422.1054813199. The cubic root of 2022384 is about 126.4603968161.
Adding to 2022384 its reverse (4832202), we get a palindrome (6854586).
The spelling of 2022384 in words is "two million, twenty-two thousand, three hundred eighty-four".
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