Base | Representation |
---|---|
bin | 1000010110010111… |
… | …1000011001001000 |
3 | 12210012101211122121 |
4 | 2011211320121020 |
5 | 14042233100130 |
6 | 1010222501024 |
7 | 106353510310 |
oct | 20545703110 |
9 | 5705354577 |
10 | 2241300040 |
11 | a50178991 |
12 | 526734774 |
13 | 299461b55 |
14 | 17394c440 |
15 | d1b78d7a |
hex | 85978648 |
2241300040 has 128 divisors (see below), whose sum is σ = 6181920000. Its totient is φ = 714175488.
The previous prime is 2241300007. The next prime is 2241300101. The reversal of 2241300040 is 400031422.
It is a junction number, because it is equal to n+sod(n) for n = 2241299987 and 2241300023.
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 31 ways as a sum of consecutive naturals, for example, 277986 + ... + 285934.
It is an arithmetic number, because the mean of its divisors is an integer number (48296250).
Almost surely, 22241300040 is an apocalyptic number.
2241300040 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 2241300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090960000).
2241300040 is an abundant number, since it is smaller than the sum of its proper divisors (3940619960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2241300040 is a wasteful number, since it uses less digits than its factorization.
2241300040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8039 (or 8035 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 2241300040 is about 47342.3704518479. The cubic root of 2241300040 is about 1308.6796011365.
Adding to 2241300040 its reverse (400031422), we get a palindrome (2641331462).
The spelling of 2241300040 in words is "two billion, two hundred forty-one million, three hundred thousand, forty".
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