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225216583 is a prime number
BaseRepresentation
bin11010110110010…
…00100001000111
3120200210012001221
431123020201013
5430123412313
634203101211
75403211054
oct1533104107
9520705057
10225216583
11106146609
1263511807
1337875c67
1421ca802b
1514b8ac8d
hexd6c8847

225216583 has 2 divisors, whose sum is σ = 225216584. Its totient is φ = 225216582.

The previous prime is 225216569. The next prime is 225216587. The reversal of 225216583 is 385612522.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225216583 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225216587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112608291 + 112608292.

It is an arithmetic number, because the mean of its divisors is an integer number (112608292).

Almost surely, 2225216583 is an apocalyptic number.

225216583 is a deficient number, since it is larger than the sum of its proper divisors (1).

225216583 is an equidigital number, since it uses as much as digits as its factorization.

225216583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28800, while the sum is 34.

The square root of 225216583 is about 15007.2176968284. The cubic root of 225216583 is about 608.4152927583.

The spelling of 225216583 in words is "two hundred twenty-five million, two hundred sixteen thousand, five hundred eighty-three".