Search a number
-
+
2224684001 is a prime number
BaseRepresentation
bin1000010010011001…
…1111101111100001
312202001010122201202
42010212133233201
514024004342001
61004430410545
7106062334121
oct20446375741
95661118652
102224684001
11a4185a021
12521060a55
13295b94a87
14171664c81
15d049596b
hex8499fbe1

2224684001 has 2 divisors, whose sum is σ = 2224684002. Its totient is φ = 2224684000.

The previous prime is 2224683977. The next prime is 2224684009. The reversal of 2224684001 is 1004864222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1697522401 + 527161600 = 41201^2 + 22960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2224684001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2224684009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112342000 + 1112342001.

It is an arithmetic number, because the mean of its divisors is an integer number (1112342001).

Almost surely, 22224684001 is an apocalyptic number.

It is an amenable number.

2224684001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224684001 is an equidigital number, since it uses as much as digits as its factorization.

2224684001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 2224684001 is about 47166.5559586451. Note that the first 3 decimals coincide. The cubic root of 2224684001 is about 1305.4375794617.

The spelling of 2224684001 in words is "two billion, two hundred twenty-four million, six hundred eighty-four thousand, one".