Base | Representation |
---|---|
bin | 1000010110010101… |
… | …0001011101010000 |
3 | 12210012002201212221 |
4 | 2011211101131100 |
5 | 14042212444220 |
6 | 1010215230424 |
7 | 106352244331 |
oct | 20545213520 |
9 | 5705081787 |
10 | 2241140560 |
11 | a5007a08a |
12 | 526678414 |
13 | 299407399 |
14 | 17390a288 |
15 | d1b469aa |
hex | 85951750 |
2241140560 has 80 divisors (see below), whose sum is σ = 5310195840. Its totient is φ = 879459840.
The previous prime is 2241140491. The next prime is 2241140591. The reversal of 2241140560 is 650411422.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×22411405602 = 10045422019354227200, which contains 22 as substring.
It is a congruent number.
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, 1299859 + ... + 1301581.
It is an arithmetic number, because the mean of its divisors is an integer number (66377448).
Almost surely, 22241140560 is an apocalyptic number.
2241140560 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 2241140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655097920).
2241140560 is an abundant number, since it is smaller than the sum of its proper divisors (3069055280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2241140560 is a wasteful number, since it uses less digits than its factorization.
2241140560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 25.
The square root of 2241140560 is about 47340.6860955774. The cubic root of 2241140560 is about 1308.6485606437.
Adding to 2241140560 its reverse (650411422), we get a palindrome (2891551982).
The spelling of 2241140560 in words is "two billion, two hundred forty-one million, one hundred forty thousand, five hundred sixty".
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