Search a number
-
+
225633217 is a prime number
BaseRepresentation
bin11010111001011…
…10001111000001
3120201120100120211
431130232033001
5430230230332
634220034121
75406564535
oct1534561701
9521510524
10225633217
11106400637
1263692941
13379907a4
1421d75bc5
1514c1e447
hexd72e3c1

225633217 has 2 divisors, whose sum is σ = 225633218. Its totient is φ = 225633216.

The previous prime is 225633211. The next prime is 225633251. The reversal of 225633217 is 712336522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182547121 + 43086096 = 13511^2 + 6564^2 .

It is a cyclic number.

It is not a de Polignac number, because 225633217 - 211 = 225631169 is a prime.

It is a super-2 number, since 2×2256332172 = 101820697227538178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225633211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112816608 + 112816609.

It is an arithmetic number, because the mean of its divisors is an integer number (112816609).

Almost surely, 2225633217 is an apocalyptic number.

It is an amenable number.

225633217 is a deficient number, since it is larger than the sum of its proper divisors (1).

225633217 is an equidigital number, since it uses as much as digits as its factorization.

225633217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 31.

The square root of 225633217 is about 15021.0924036836. The cubic root of 225633217 is about 608.7902360592.

Adding to 225633217 its reverse (712336522), we get a palindrome (937969739).

The spelling of 225633217 in words is "two hundred twenty-five million, six hundred thirty-three thousand, two hundred seventeen".