Base | Representation |
---|---|
bin | 1000010111011111… |
… | …0100101010001100 |
3 | 12210112020210100220 |
4 | 2011313310222030 |
5 | 14044434101330 |
6 | 1010511351340 |
7 | 106441466460 |
oct | 20567645214 |
9 | 5715223326 |
10 | 2246003340 |
11 | a528a0609 |
12 | 528222550 |
13 | 29a41a879 |
14 | 1744144a0 |
15 | d22a7710 |
hex | 85df4a8c |
2246003340 has 96 divisors (see below), whose sum is σ = 7195668480. Its totient is φ = 512768256.
The previous prime is 2246003321. The next prime is 2246003371. The reversal of 2246003340 is 433006422.
It is a happy number.
2246003340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 2246003340.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422821 + ... + 428099.
It is an arithmetic number, because the mean of its divisors is an integer number (74954880).
Almost surely, 22246003340 is an apocalyptic number.
2246003340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2246003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597834240).
2246003340 is an abundant number, since it is smaller than the sum of its proper divisors (4949665140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2246003340 is a wasteful number, since it uses less digits than its factorization.
2246003340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6311 (or 6309 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
The square root of 2246003340 is about 47392.0176823060. The cubic root of 2246003340 is about 1309.5943696833.
Adding to 2246003340 its reverse (433006422), we get a palindrome (2679009762).
The spelling of 2246003340 in words is "two billion, two hundred forty-six million, three thousand, three hundred forty".
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