Search a number
-
+
225999577 is a prime number
BaseRepresentation
bin11010111100001…
…11101011011001
3120202020222010201
431132013223121
5430323441302
634231542201
75412651616
oct1536075331
9522228121
10225999577
11106630911
126382a961
1337a8b47b
142202d50d
1514c92c87
hexd787ad9

225999577 has 2 divisors, whose sum is σ = 225999578. Its totient is φ = 225999576.

The previous prime is 225999539. The next prime is 225999583. The reversal of 225999577 is 775999522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199487376 + 26512201 = 14124^2 + 5149^2 .

It is a cyclic number.

It is not a de Polignac number, because 225999577 - 223 = 217610969 is a prime.

It is a super-3 number, since 3×2259995773 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (225999877) 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 as a sum of consecutive naturals, namely, 112999788 + 112999789.

It is an arithmetic number, because the mean of its divisors is an integer number (112999789).

Almost surely, 2225999577 is an apocalyptic number.

It is an amenable number.

225999577 is a deficient number, since it is larger than the sum of its proper divisors (1).

225999577 is an equidigital number, since it uses as much as digits as its factorization.

225999577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3572100, while the sum is 55.

The square root of 225999577 is about 15033.2823095956. The cubic root of 225999577 is about 609.1195548656.

Subtracting from 225999577 its sum of digits (55), we obtain a palindrome (225999522).

Subtracting 225999577 from its reverse (775999522), we obtain a palindrome (549999945).

It can be divided in two parts, 225999 and 577, that added together give a square (226576 = 4762).

The spelling of 225999577 in words is "two hundred twenty-five million, nine hundred ninety-nine thousand, five hundred seventy-seven".