Base | Representation |
---|---|
bin | 111011101011010… |
… | …1001000011010110 |
3 | 12011112220200100200 |
4 | 1313112221003112 |
5 | 13100110032042 |
6 | 530410521330 |
7 | 100423215624 |
oct | 16726510326 |
9 | 5145820320 |
10 | 2002424022 |
11 | 938352895 |
12 | 47a736246 |
13 | 25bb157b1 |
14 | 14dd2a514 |
15 | babe0c4c |
hex | 775a90d6 |
2002424022 has 96 divisors (see below), whose sum is σ = 4793817600. Its totient is φ = 601261056.
The previous prime is 2002424009. The next prime is 2002424027. The reversal of 2002424022 is 2204242002.
2002424022 is a `hidden beast` number, since 20 + 0 + 242 + 402 + 2 = 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 = 2002423986 and 2002424004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002424027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517479 + ... + 1518797.
It is an arithmetic number, because the mean of its divisors is an integer number (49935600).
Almost surely, 22002424022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002424022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396908800).
2002424022 is an abundant number, since it is smaller than the sum of its proper divisors (2791393578).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002424022 is a wasteful number, since it uses less digits than its factorization.
2002424022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1562 (or 1559 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 2002424022 is about 44748.4527330275. The cubic root of 2002424022 is about 1260.4298571141.
Adding to 2002424022 its reverse (2204242002), we get a palindrome (4206666024).
The spelling of 2002424022 in words is "two billion, two million, four hundred twenty-four thousand, twenty-two".
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