Base | Representation |
---|---|
bin | 1000010001100011… |
… | …1101010010110000 |
3 | 12201210110100110011 |
4 | 2010120331102300 |
5 | 14022102310044 |
6 | 1004222344304 |
7 | 106020223213 |
oct | 20430752260 |
9 | 5653410404 |
10 | 2221135024 |
11 | a3a855689 |
12 | 51ba2b094 |
13 | 2952215a4 |
14 | 170dbd77a |
15 | ceee4134 |
hex | 8463d4b0 |
2221135024 has 80 divisors (see below), whose sum is σ = 4674557952. Its totient is φ = 1019642624.
The previous prime is 2221134991. The next prime is 2221135039. The reversal of 2221135024 is 4205311222.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 2221134986 and 2221135004.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915477 + ... + 917899.
Almost surely, 22221135024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2221135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337278976).
2221135024 is an abundant number, since it is smaller than the sum of its proper divisors (2453422928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221135024 is a wasteful number, since it uses less digits than its factorization.
2221135024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2554 (or 2548 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 22.
The square root of 2221135024 is about 47128.9191898138. The cubic root of 2221135024 is about 1304.7430338179.
Adding to 2221135024 its reverse (4205311222), we get a palindrome (6426446246).
The spelling of 2221135024 in words is "two billion, two hundred twenty-one million, one hundred thirty-five thousand, twenty-four".
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