Base | Representation |
---|---|
bin | 1000010110010110… |
… | …1011010001100000 |
3 | 12210012022002221101 |
4 | 2011211223101200 |
5 | 14042224340204 |
6 | 1010221404144 |
7 | 106353164533 |
oct | 20545532140 |
9 | 5705262841 |
10 | 2241246304 |
11 | a50141580 |
12 | 526709654 |
13 | 29944355b |
14 | 173936a1a |
15 | d1b67ea4 |
hex | 8596b460 |
2241246304 has 96 divisors (see below), whose sum is σ = 4984936992. Its totient is φ = 983040000.
The previous prime is 2241246239. The next prime is 2241246307. The reversal of 2241246304 is 4036421422.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2241246307) 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 15 ways as a sum of consecutive naturals, for example, 1399104 + ... + 1400704.
It is an arithmetic number, because the mean of its divisors is an integer number (51926427).
Almost surely, 22241246304 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 2241246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492468496).
2241246304 is an abundant number, since it is smaller than the sum of its proper divisors (2743690688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2241246304 is a wasteful number, since it uses less digits than its factorization.
2241246304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
The square root of 2241246304 is about 47341.8029229982. The cubic root of 2241246304 is about 1308.6691423599.
Adding to 2241246304 its reverse (4036421422), we get a palindrome (6277667726).
The spelling of 2241246304 in words is "two billion, two hundred forty-one million, two hundred forty-six thousand, three hundred four".
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