Search a number
-
+
214729561 is a prime number
BaseRepresentation
bin11001100110010…
…00001101011001
3112222001101120201
430303020031121
5414432321221
633150222201
75215112464
oct1463101531
9488041521
10214729561
11100233552
125bab4961
1335643817
14207382db
1513cb8891
hexccc8359

214729561 has 2 divisors, whose sum is σ = 214729562. Its totient is φ = 214729560.

The previous prime is 214729523. The next prime is 214729597. The reversal of 214729561 is 165927412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147161161 + 67568400 = 12131^2 + 8220^2 .

It is a cyclic number.

It is not a de Polignac number, because 214729561 - 213 = 214721369 is a prime.

It is a super-2 number, since 2×2147295612 = 92217568734505442, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214729561.

It is not a weakly prime, because it can be changed into another prime (214729661) 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 as a sum of consecutive naturals, namely, 107364780 + 107364781.

It is an arithmetic number, because the mean of its divisors is an integer number (107364781).

Almost surely, 2214729561 is an apocalyptic number.

It is an amenable number.

214729561 is a deficient number, since it is larger than the sum of its proper divisors (1).

214729561 is an equidigital number, since it uses as much as digits as its factorization.

214729561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 214729561 is about 14653.6535034782. The cubic root of 214729561 is about 598.8213537638.

The spelling of 214729561 in words is "two hundred fourteen million, seven hundred twenty-nine thousand, five hundred sixty-one".