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225166305 = 35713212689
BaseRepresentation
bin11010110101111…
…00001111100001
3120200200122002210
431122330033201
5430120310210
634202032333
75402611350
oct1532741741
9520618083
10225166305
11106111861
12634a86a9
1337859100
1421c93997
1514b7ae20
hexd6bc3e1

225166305 has 48 divisors (see below), whose sum is σ = 445875840. Its totient is φ = 95007744.

The previous prime is 225166303. The next prime is 225166339. The reversal of 225166305 is 503661522.

It is not a de Polignac number, because 225166305 - 21 = 225166303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225166303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11401 + ... + 24089.

It is an arithmetic number, because the mean of its divisors is an integer number (9289080).

Almost surely, 2225166305 is an apocalyptic number.

It is an amenable number.

225166305 is a deficient number, since it is larger than the sum of its proper divisors (220709535).

225166305 is a wasteful number, since it uses less digits than its factorization.

225166305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12730 (or 12717 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 225166305 is about 15005.5424760320. The cubic root of 225166305 is about 608.3700145935.

The spelling of 225166305 in words is "two hundred twenty-five million, one hundred sixty-six thousand, three hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 169 195 273 455 507 845 1183 1365 2535 3549 5915 12689 17745 38067 63445 88823 164957 190335 266469 444115 494871 824785 1154699 1332345 2144441 2474355 3464097 5773495 6433323 10722205 15011087 17320485 32166615 45033261 75055435 225166305