Base | Representation |
---|---|
bin | 11010101100111… |
… | …11100000000001 |
3 | 120121111101020100 |
4 | 31112133200001 |
5 | 424321000001 |
6 | 34121033013 |
7 | 5356653141 |
oct | 1526374001 |
9 | 517441210 |
10 | 224000001 |
11 | 105495575 |
12 | 63025769 |
13 | 3753b2a4 |
14 | 21a6c921 |
15 | 149ea586 |
hex | d59f801 |
224000001 has 6 divisors (see below), whose sum is σ = 323555570. Its totient is φ = 149333328.
The previous prime is 223999903. The next prime is 224000047. The reversal of 224000001 is 100000422.
It can be written as a sum of positive squares in only one way, i.e., 197374401 + 26625600 = 14049^2 + 5160^2 .
It is not a de Polignac number, because 224000001 - 217 = 223868929 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 24888889 = 224000001 / (2 + 2 + 4 + 0 + 0 + 0 + 0 + 0 + 1).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (224000071) 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 5 ways as a sum of consecutive naturals, for example, 12444436 + ... + 12444453.
Almost surely, 2224000001 is an apocalyptic number.
It is an amenable number.
224000001 is a deficient number, since it is larger than the sum of its proper divisors (99555569).
224000001 is a wasteful number, since it uses less digits than its factorization.
224000001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24888895 (or 24888892 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 224000001 is about 14966.6295805034. The cubic root of 224000001 is about 607.3177952789.
Adding to 224000001 its reverse (100000422), we get a palindrome (324000423).
The spelling of 224000001 in words is "two hundred twenty-four million, one", and thus it is an aban number.
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