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225506317 is a prime number
BaseRepresentation
bin11010111000011…
…11010000001101
3120201022220111211
431130033100031
5430212200232
634213214421
75405525551
oct1534172015
9521286454
10225506317
11106324263
1263631411
1337947aba
1421d41861
1514be6a47
hexd70f40d

225506317 has 2 divisors, whose sum is σ = 225506318. Its totient is φ = 225506316.

The previous prime is 225506311. The next prime is 225506321. The reversal of 225506317 is 713605522.

225506317 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., 138438756 + 87067561 = 11766^2 + 9331^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225506317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225506311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112753158 + 112753159.

It is an arithmetic number, because the mean of its divisors is an integer number (112753159).

Almost surely, 2225506317 is an apocalyptic number.

It is an amenable number.

225506317 is a deficient number, since it is larger than the sum of its proper divisors (1).

225506317 is an equidigital number, since it uses as much as digits as its factorization.

225506317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 225506317 is about 15016.8677493011. The cubic root of 225506317 is about 608.6760832913.

The spelling of 225506317 in words is "two hundred twenty-five million, five hundred six thousand, three hundred seventeen".