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225506311 is a prime number
BaseRepresentation
bin11010111000011…
…11010000000111
3120201022220111121
431130033100013
5430212200221
634213214411
75405525542
oct1534172007
9521286447
10225506311
11106324258
1263631407
1337947ab4
1421d41859
1514be6a41
hexd70f407

225506311 has 2 divisors, whose sum is σ = 225506312. Its totient is φ = 225506310.

The previous prime is 225506293. The next prime is 225506317. The reversal of 225506311 is 113605522.

225506311 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225506311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225506317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112753155 + 112753156.

It is an arithmetic number, because the mean of its divisors is an integer number (112753156).

Almost surely, 2225506311 is an apocalyptic number.

225506311 is a deficient number, since it is larger than the sum of its proper divisors (1).

225506311 is an equidigital number, since it uses as much as digits as its factorization.

225506311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 225506311 is about 15016.8675495258. The cubic root of 225506311 is about 608.6760778929.

The spelling of 225506311 in words is "two hundred twenty-five million, five hundred six thousand, three hundred eleven".