Search a number
-
+
147312289 is a prime number
BaseRepresentation
bin10001100011111…
…00111010100001
3101021012020110201
420301330322201
5300202443124
622341225201
73436063615
oct1061747241
9337166421
10147312289
11761769a3
1241402201
132469a747
14157c9345
15cded144
hex8c7cea1

147312289 has 2 divisors, whose sum is σ = 147312290. Its totient is φ = 147312288.

The previous prime is 147312227. The next prime is 147312299. The reversal of 147312289 is 982213741.

147312289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145443600 + 1868689 = 12060^2 + 1367^2 .

It is a cyclic number.

It is not a de Polignac number, because 147312289 - 27 = 147312161 is a prime.

It is not a weakly prime, because it can be changed into another prime (147312299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73656144 + 73656145.

It is an arithmetic number, because the mean of its divisors is an integer number (73656145).

Almost surely, 2147312289 is an apocalyptic number.

It is an amenable number.

147312289 is a deficient number, since it is larger than the sum of its proper divisors (1).

147312289 is an equidigital number, since it uses as much as digits as its factorization.

147312289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24192, while the sum is 37.

The square root of 147312289 is about 12137.2274016762. The cubic root of 147312289 is about 528.1366738033.

It can be divided in two parts, 14731 and 2289, that added together give a triangular number (17020 = T184).

The spelling of 147312289 in words is "one hundred forty-seven million, three hundred twelve thousand, two hundred eighty-nine".