Search a number
-
+
131445225 = 3252733797
BaseRepresentation
bin1111101010110…
…11000111101001
3100011100002221200
413311123013221
5232122221400
621013154413
73154160142
oct765330751
9304302850
10131445225
116821981a
123802ba09
1321303552
1413658ac9
15b816b00
hex7d5b1e9

131445225 has 36 divisors (see below), whose sum is σ = 236049996. Its totient is φ = 69920640.

The previous prime is 131445203. The next prime is 131445233. The reversal of 131445225 is 522544131.

131445225 is a `hidden beast` number, since 131 + 4 + 4 + 522 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3732624 + 127712601 = 1932^2 + 11301^2 .

It is not a de Polignac number, because 131445225 - 211 = 131443177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164527 + ... + 165323.

Almost surely, 2131445225 is an apocalyptic number.

131445225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131445225 is a deficient number, since it is larger than the sum of its proper divisors (104604771).

131445225 is a wasteful number, since it uses less digits than its factorization.

131445225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1538 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 131445225 is about 11464.9563889271. The cubic root of 131445225 is about 508.4500230785.

Adding to 131445225 its reverse (522544131), we get a palindrome (653989356).

The spelling of 131445225 in words is "one hundred thirty-one million, four hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 733 797 2199 2391 3665 3985 6597 7173 10995 11955 18325 19925 32985 35865 54975 59775 164925 179325 584201 1752603 2921005 5257809 8763015 14605025 26289045 43815075 131445225