Base | Representation |
---|---|
bin | 111011100111100… |
… | …0101001101101110 |
3 | 12011102011222211200 |
4 | 1313033011031232 |
5 | 13044103122342 |
6 | 530300230330 |
7 | 100400323032 |
oct | 16717051556 |
9 | 5142158750 |
10 | 2000442222 |
11 | 937219939 |
12 | 479b3b3a6 |
13 | 25b5a072c |
14 | 14d9721c2 |
15 | ba94d94c |
hex | 773c536e |
2000442222 has 48 divisors (see below), whose sum is σ = 4458413232. Its totient is φ = 647775360.
The previous prime is 2000442221. The next prime is 2000442281. The reversal of 2000442222 is 2222440002.
2000442222 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 442 + 222 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2000442195 and 2000442204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2000442221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504853 + ... + 508799.
It is an arithmetic number, because the mean of its divisors is an integer number (92883609).
Almost surely, 22000442222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2000442222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229206616).
2000442222 is an abundant number, since it is smaller than the sum of its proper divisors (2457971010).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000442222 is a wasteful number, since it uses less digits than its factorization.
2000442222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4753 (or 4750 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 2000442222 is about 44726.3034689879. The cubic root of 2000442222 is about 1260.0139038526.
Adding to 2000442222 its reverse (2222440002), we get a palindrome (4222882224).
It can be divided in two parts, 20004 and 42222, that added together give a palindrome (62226).
The spelling of 2000442222 in words is "two billion, four hundred forty-two thousand, two hundred twenty-two".
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