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225727350181 is a prime number
BaseRepresentation
bin1101001000111001100…
…1100000010110100101
3210120122022211111011221
43102032121200112211
512144242200201211
6251410412300341
722210506550564
oct3221631402645
9716568744157
10225727350181
1187804228183
12378b77716b1
131839444c8c8
14acd4cc1bdb
155d11e1cc71
hex348e6605a5

225727350181 has 2 divisors, whose sum is σ = 225727350182. Its totient is φ = 225727350180.

The previous prime is 225727350161. The next prime is 225727350187. The reversal of 225727350181 is 181053727522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158858044900 + 66869305281 = 398570^2 + 258591^2 .

It is a cyclic number.

It is not a de Polignac number, because 225727350181 - 219 = 225726825893 is a prime.

It is a super-2 number, since 2×2257273501812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225727350187) 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, 112863675090 + 112863675091.

It is an arithmetic number, because the mean of its divisors is an integer number (112863675091).

Almost surely, 2225727350181 is an apocalyptic number.

It is an amenable number.

225727350181 is a deficient number, since it is larger than the sum of its proper divisors (1).

225727350181 is an equidigital number, since it uses as much as digits as its factorization.

225727350181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 225727350181 in words is "two hundred twenty-five billion, seven hundred twenty-seven million, three hundred fifty thousand, one hundred eighty-one".