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225017593 = 1761972237
BaseRepresentation
bin11010110100101…
…11111011111001
3120200102002002221
431122113323321
5430101030333
634154524041
75401421653
oct1532277371
9520362087
10225017593
11106020059
1263436621
1337806508
1421c556d3
1514b4bd2d
hexd697ef9

225017593 has 16 divisors (see below), whose sum is σ = 244765584. Its totient is φ = 206069760.

The previous prime is 225017591. The next prime is 225017629. The reversal of 225017593 is 395710522.

It can be written as a sum of positive squares in 8 ways, for example, as 107584 + 224910009 = 328^2 + 14997^2 .

It is a cyclic number.

It is not a de Polignac number, because 225017593 - 21 = 225017591 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225017591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99471 + ... + 101707.

It is an arithmetic number, because the mean of its divisors is an integer number (15297849).

Almost surely, 2225017593 is an apocalyptic number.

It is an amenable number.

225017593 is a deficient number, since it is larger than the sum of its proper divisors (19747991).

225017593 is a wasteful number, since it uses less digits than its factorization.

225017593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 225017593 is about 15000.5864218703. The cubic root of 225017593 is about 608.2360516153.

The spelling of 225017593 in words is "two hundred twenty-five million, seventeen thousand, five hundred ninety-three".

Divisors: 1 17 61 97 1037 1649 2237 5917 38029 100589 136457 216989 2319769 3688813 13236329 225017593