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225807345 = 3451732797
BaseRepresentation
bin11010111010110…
…00101111110001
3120201220012110000
431131120233301
5430301313340
634223500213
75411221311
oct1535305761
9521805400
10225807345
1110650a445
1263757669
1337a21b1a
1421dbd441
1514c55d30
hexd758bf1

225807345 has 40 divisors (see below), whose sum is σ = 428604264. Its totient is φ = 113342976.

The previous prime is 225807341. The next prime is 225807349. The reversal of 225807345 is 543708522.

225807345 is a `hidden beast` number, since 2 + 2 + 580 + 73 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (225807341) and next prime (225807349).

It can be written as a sum of positive squares in 4 ways, for example, as 122744241 + 103063104 = 11079^2 + 10152^2 .

It is not a de Polignac number, because 225807345 - 22 = 225807341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225807341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9514 + ... + 23283.

Almost surely, 2225807345 is an apocalyptic number.

It is an amenable number.

225807345 is a deficient number, since it is larger than the sum of its proper divisors (202796919).

225807345 is a wasteful number, since it uses less digits than its factorization.

225807345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32831 (or 32822 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 225807345 is about 15026.8874022533. The cubic root of 225807345 is about 608.9468030895.

The spelling of 225807345 in words is "two hundred twenty-five million, eight hundred seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 32797 98391 163985 295173 491955 557549 885519 1475865 1672647 2656557 2787745 4427595 5017941 8363235 13282785 15053823 25089705 45161469 75269115 225807345