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224817145 = 5724122381
BaseRepresentation
bin11010110011001…
…10111111111001
3120200000220010221
431121212333321
5430023122040
634150340041
75366625400
oct1531467771
9520026127
10224817145
111059a34a3
126335a621
13377661c7
1421c02637
1514b0c74a
hexd666ff9

224817145 has 24 divisors (see below), whose sum is σ = 321495048. Its totient is φ = 150393600.

The previous prime is 224817119. The next prime is 224817161. The reversal of 224817145 is 541718422.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 222934761 = 1372^2 + 14931^2 .

It is not a de Polignac number, because 224817145 - 27 = 224817017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224817145.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1146 + ... + 21235.

It is an arithmetic number, because the mean of its divisors is an integer number (13395627).

Almost surely, 2224817145 is an apocalyptic number.

It is an amenable number.

224817145 is a deficient number, since it is larger than the sum of its proper divisors (96677903).

224817145 is a wasteful number, since it uses less digits than its factorization.

224817145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22441 (or 22434 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 224817145 is about 14993.9035944613. The cubic root of 224817145 is about 608.0553903037.

The spelling of 224817145 in words is "two hundred twenty-four million, eight hundred seventeen thousand, one hundred forty-five".

Divisors: 1 5 7 35 41 49 205 245 287 1435 2009 10045 22381 111905 156667 783335 917621 1096669 4588105 5483345 6423347 32116735 44963429 224817145