Base | Representation |
---|---|
bin | 1000001110111111… |
… | …0010000010100000 |
3 | 12201001010221212101 |
4 | 2003233302002200 |
5 | 14011321403044 |
6 | 1003155140144 |
7 | 105526405633 |
oct | 20357620240 |
9 | 5631127771 |
10 | 2210341024 |
11 | a34752a21 |
12 | 5182a4654 |
13 | 292c124c8 |
14 | 16d7adc1a |
15 | ce0b0cd4 |
hex | 83bf20a0 |
2210341024 has 48 divisors (see below), whose sum is σ = 4508065800. Its totient is φ = 1065544704.
The previous prime is 2210340971. The next prime is 2210341027. The reversal of 2210341024 is 4201430122.
It can be written as a sum of positive squares in 4 ways, for example, as 1987376400 + 222964624 = 44580^2 + 14932^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2210340992 and 2210341010.
It is not an unprimeable number, because it can be changed into a prime (2210341027) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 924022 + ... + 926410.
Almost surely, 22210341024 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 2210341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254032900).
2210341024 is an abundant number, since it is smaller than the sum of its proper divisors (2297724776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210341024 is a wasteful number, since it uses less digits than its factorization.
2210341024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3425 (or 3417 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 2210341024 is about 47014.2640482652. The cubic root of 2210341024 is about 1302.6260573568.
Adding to 2210341024 its reverse (4201430122), we get a palindrome (6411771146).
The spelling of 2210341024 in words is "two billion, two hundred ten million, three hundred forty-one thousand, twenty-four".
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