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225361565 = 511131953313
BaseRepresentation
bin11010110111010…
…11111010011101
3120201001112221122
431123223322131
5430143032230
634210140325
75404353542
oct1533537235
9521045848
10225361565
11106235530
12635816a5
13378c6c50
1421d04bc9
1514bb8be5
hexd6ebe9d

225361565 has 64 divisors (see below), whose sum is σ = 341832960. Its totient is φ = 140175360.

The previous prime is 225361553. The next prime is 225361573. The reversal of 225361565 is 565163522.

It is not a de Polignac number, because 225361565 - 212 = 225357469 is a prime.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 719849 + ... + 720161.

It is an arithmetic number, because the mean of its divisors is an integer number (5341140).

Almost surely, 2225361565 is an apocalyptic number.

It is an amenable number.

225361565 is a deficient number, since it is larger than the sum of its proper divisors (116471395).

225361565 is a wasteful number, since it uses less digits than its factorization.

225361565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its digits is 54000, while the sum is 35.

The square root of 225361565 is about 15012.0473287290. The cubic root of 225361565 is about 608.5458194769.

The spelling of 225361565 in words is "two hundred twenty-five million, three hundred sixty-one thousand, five hundred sixty-five".

Divisors: 1 5 11 13 19 53 55 65 95 143 209 247 265 313 583 689 715 1007 1045 1235 1565 2717 2915 3443 3445 4069 5035 5947 7579 11077 13091 13585 16589 17215 20345 29735 37895 44759 55385 65417 65455 77311 82945 144001 182479 215657 223795 315191 327085 386555 720005 850421 912395 1078285 1575955 2372227 3467101 4097483 4252105 11861135 17335505 20487415 45072313 225361565