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225415181 is a prime number
BaseRepresentation
bin11010110111110…
…01000000001101
3120201011021111102
431123321000031
5430201241211
634211232445
75404666055
oct1533710015
9521137442
10225415181
11106271842
12635a8725
1337915484
1421d1a565
1514bc9a3b
hexd6f900d

225415181 has 2 divisors, whose sum is σ = 225415182. Its totient is φ = 225415180.

The previous prime is 225415153. The next prime is 225415207. The reversal of 225415181 is 181514522.

225415181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206353225 + 19061956 = 14365^2 + 4366^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225415181 is a prime.

It is a super-2 number, since 2×2254151812 = 101624007650525522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225415381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112707590 + 112707591.

It is an arithmetic number, because the mean of its divisors is an integer number (112707591).

Almost surely, 2225415181 is an apocalyptic number.

It is an amenable number.

225415181 is a deficient number, since it is larger than the sum of its proper divisors (1).

225415181 is an equidigital number, since it uses as much as digits as its factorization.

225415181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3200, while the sum is 29.

The square root of 225415181 is about 15013.8329882812. The cubic root of 225415181 is about 608.5940755693.

The spelling of 225415181 in words is "two hundred twenty-five million, four hundred fifteen thousand, one hundred eighty-one".