Search a number
-
+
2216257361 = 113163711981
BaseRepresentation
bin1000010000011001…
…0110011101010001
312201110021112112222
42010012112131101
514014330213421
61003530030425
7105630606503
oct20406263521
95643245488
102216257361
11a38023a5a
1251a278415
132942043b6
141704add73
15ce87dcab
hex84196751

2216257361 has 8 divisors (see below), whose sum is σ = 2237422824. Its totient is φ = 2195119360.

The previous prime is 2216257331. The next prime is 2216257369. The reversal of 2216257361 is 1637526122.

It can be written as a sum of positive squares in 4 ways, for example, as 8667136 + 2207590225 = 2944^2 + 46985^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2216257361 - 214 = 2216240977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2216257369) 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 7 ways as a sum of consecutive naturals, for example, 178991 + ... + 190971.

It is an arithmetic number, because the mean of its divisors is an integer number (279677853).

Almost surely, 22216257361 is an apocalyptic number.

It is an amenable number.

2216257361 is a deficient number, since it is larger than the sum of its proper divisors (21165463).

2216257361 is a wasteful number, since it uses less digits than its factorization.

2216257361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731.

The product of its digits is 30240, while the sum is 35.

The square root of 2216257361 is about 47077.1426596815. The cubic root of 2216257361 is about 1303.7872520501.

The spelling of 2216257361 in words is "two billion, two hundred sixteen million, two hundred fifty-seven thousand, three hundred sixty-one".

Divisors: 1 113 1637 11981 184981 1353853 19612897 2216257361