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225585593 is a prime number
BaseRepresentation
bin11010111001000…
…10100110111001
3120201110221020222
431130202212321
5430222214333
634215025425
75406305642
oct1534424671
9521427228
10225585593
11106378882
126366b275
1337974bcc
1421d626c9
1514c10298
hexd7229b9

225585593 has 2 divisors, whose sum is σ = 225585594. Its totient is φ = 225585592.

The previous prime is 225585533. The next prime is 225585623. The reversal of 225585593 is 395585522.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182709289 + 42876304 = 13517^2 + 6548^2 .

It is a cyclic number.

It is not a de Polignac number, because 225585593 - 212 = 225581497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225585523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112792796 + 112792797.

It is an arithmetic number, because the mean of its divisors is an integer number (112792797).

Almost surely, 2225585593 is an apocalyptic number.

It is an amenable number.

225585593 is a deficient number, since it is larger than the sum of its proper divisors (1).

225585593 is an equidigital number, since it uses as much as digits as its factorization.

225585593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540000, while the sum is 44.

The square root of 225585593 is about 15019.5070824578. The cubic root of 225585593 is about 608.7474009561.

The spelling of 225585593 in words is "two hundred twenty-five million, five hundred eighty-five thousand, five hundred ninety-three".