Search a number
-
+
225640017 = 3234971837
BaseRepresentation
bin11010111001011…
…11111001010001
3120201120200220200
431130233321101
5430230440032
634220125413
75406623421
oct1534577121
9521520820
10225640017
11106405759
1263696869
1337993905
1421d78481
1514c2147c
hexd72fe51

225640017 has 12 divisors (see below), whose sum is σ = 326862900. Its totient is φ = 149993568.

The previous prime is 225639977. The next prime is 225640021. The reversal of 225640017 is 710046522.

225640017 is a `hidden beast` number, since 2 + 2 + 5 + 640 + 0 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147476736 + 78163281 = 12144^2 + 8841^2 .

It is not a de Polignac number, because 225640017 - 28 = 225639761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225640417) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32778 + ... + 39059.

It is an arithmetic number, because the mean of its divisors is an integer number (27238575).

Almost surely, 2225640017 is an apocalyptic number.

It is an amenable number.

225640017 is a deficient number, since it is larger than the sum of its proper divisors (101222883).

225640017 is a wasteful number, since it uses less digits than its factorization.

225640017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72192 (or 72189 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225640017 is about 15021.3187503628. The cubic root of 225640017 is about 608.7963517840.

Adding to 225640017 its reverse (710046522), we get a palindrome (935686539).

The spelling of 225640017 in words is "two hundred twenty-five million, six hundred forty thousand, seventeen".

Divisors: 1 3 9 349 1047 3141 71837 215511 646533 25071113 75213339 225640017