Search a number
-
+
225200227 = 7259611277
BaseRepresentation
bin11010110110001…
…00100001100011
3120200202100122011
431123010201203
5430122401402
634202453351
75403112300
oct1533044143
9520670564
10225200227
1110613529a
1263504257
133786b695
1421ca20a7
1514b85ed7
hexd6c4863

225200227 has 24 divisors (see below), whose sum is σ = 270987120. Its totient is φ = 186500160.

The previous prime is 225200221. The next prime is 225200237. The reversal of 225200227 is 722002522.

It is a happy number.

It is not a de Polignac number, because 225200227 - 23 = 225200219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225200198 and 225200207.

It is not an unprimeable number, because it can be changed into a prime (225200221) 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 in 23 ways as a sum of consecutive naturals, for example, 175713 + ... + 176989.

It is an arithmetic number, because the mean of its divisors is an integer number (11291130).

Almost surely, 2225200227 is an apocalyptic number.

225200227 is a deficient number, since it is larger than the sum of its proper divisors (45786893).

225200227 is a wasteful number, since it uses less digits than its factorization.

225200227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 225200227 is about 15006.6727491473. The cubic root of 225200227 is about 608.4005640006.

Adding to 225200227 its reverse (722002522), we get a palindrome (947202749).

The spelling of 225200227 in words is "two hundred twenty-five million, two hundred thousand, two hundred twenty-seven".

Divisors: 1 7 49 59 61 413 427 1277 2891 2989 3599 8939 25193 62573 75343 77897 176351 527401 545279 3691807 3816953 4595923 32171461 225200227