Base | Representation |
---|---|
bin | 1000001100110000… |
… | …1011100110110000 |
3 | 12200101120211010120 |
4 | 2003030023212300 |
5 | 14001424233220 |
6 | 1002223130240 |
7 | 105354156402 |
oct | 20314134660 |
9 | 5611524116 |
10 | 2201008560 |
11 | a2a459343 |
12 | 515143980 |
13 | 290cc573a |
14 | 16c460b72 |
15 | cd36aa40 |
hex | 8330b9b0 |
2201008560 has 80 divisors (see below), whose sum is σ = 6865108224. Its totient is φ = 583324416.
The previous prime is 2201008559. The next prime is 2201008573. The reversal of 2201008560 is 658001022.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 2201008560.
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, 10989 + ... + 67251.
Almost surely, 22201008560 is an apocalyptic number.
2201008560 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 2201008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432554112).
2201008560 is an abundant number, since it is smaller than the sum of its proper divisors (4664099664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201008560 is a wasteful number, since it uses less digits than its factorization.
2201008560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56442 (or 56436 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 24.
The square root of 2201008560 is about 46914.9076520460. The cubic root of 2201008560 is about 1300.7901626261.
Adding to 2201008560 its reverse (658001022), we get a palindrome (2859009582).
The spelling of 2201008560 in words is "two billion, two hundred one million, eight thousand, five hundred sixty".
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