Search a number
-
+
2213122297 is a prime number
BaseRepresentation
bin1000001111101001…
…1001000011111001
312201020101021001111
42003322121003321
514013024403142
61003334520321
7105562141411
oct20372310371
95636337044
102213122297
11a362825a1
125192060a1
13293677429
1416dcd5641
15ce45ee17
hex83e990f9

2213122297 has 2 divisors, whose sum is σ = 2213122298. Its totient is φ = 2213122296.

The previous prime is 2213122267. The next prime is 2213122349. The reversal of 2213122297 is 7922213122.

2213122297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1848656016 + 364466281 = 42996^2 + 19091^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213122297 - 219 = 2212598009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213122207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106561148 + 1106561149.

It is an arithmetic number, because the mean of its divisors is an integer number (1106561149).

Almost surely, 22213122297 is an apocalyptic number.

It is an amenable number.

2213122297 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213122297 is an equidigital number, since it uses as much as digits as its factorization.

2213122297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 31.

The square root of 2213122297 is about 47043.8337829731. The cubic root of 2213122297 is about 1303.1721933172.

The spelling of 2213122297 in words is "two billion, two hundred thirteen million, one hundred twenty-two thousand, two hundred ninety-seven".