Search a number
-
+
2213137 is a prime number
BaseRepresentation
bin1000011100010100010001
311011102212001
420130110101
51031310022
6115234001
724545203
oct10342421
94142761
102213137
111281843
128a8901
135c6464
14418773
152dab27
hex21c511

2213137 has 2 divisors, whose sum is σ = 2213138. Its totient is φ = 2213136.

The previous prime is 2213093. The next prime is 2213143. The reversal of 2213137 is 7313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1308736 + 904401 = 1144^2 + 951^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2213137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106568 + 1106569.

It is an arithmetic number, because the mean of its divisors is an integer number (1106569).

22213137 is an apocalyptic number.

It is an amenable number.

2213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213137 is an equidigital number, since it uses as much as digits as its factorization.

2213137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 19.

The square root of 2213137 is about 1487.6615878620. The cubic root of 2213137 is about 130.3175079210.

Adding to 2213137 its reverse (7313122), we get a palindrome (9526259).

The spelling of 2213137 in words is "two million, two hundred thirteen thousand, one hundred thirty-seven".