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225338568 = 233713103177
BaseRepresentation
bin11010110111001…
…10010011001000
3120201000101101220
431123212103020
5430141313233
634205442040
75404226520
oct1533462310
9521011356
10225338568
1110621a224
1263570320
13378b9640
1421cda680
1514bb1eb3
hexd6e64c8

225338568 has 64 divisors (see below), whose sum is σ = 693356160. Its totient is φ = 59429376.

The previous prime is 225338557. The next prime is 225338591. The reversal of 225338568 is 865833522.

225338568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49405 + ... + 53772.

It is an arithmetic number, because the mean of its divisors is an integer number (10833690).

Almost surely, 2225338568 is an apocalyptic number.

225338568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225338568 is an abundant number, since it is smaller than the sum of its proper divisors (468017592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225338568 is a wasteful number, since it uses less digits than its factorization.

225338568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103206 (or 103202 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 225338568 is about 15011.2813576989. The cubic root of 225338568 is about 608.5251191055.

The spelling of 225338568 in words is "two hundred twenty-five million, three hundred thirty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 103177 206354 309531 412708 619062 722239 825416 1238124 1341301 1444478 2166717 2476248 2682602 2888956 4023903 4333434 5365204 5777912 8047806 8666868 9389107 10730408 16095612 17333736 18778214 28167321 32191224 37556428 56334642 75112856 112669284 225338568