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14227365285 = 345716093119
BaseRepresentation
bin11010100000000010…
…00101110110100101
31100201112022001010000
431100001011312211
5213114201142120
610311433451513
71012365416040
oct152001056645
940645261100
1014227365285
116040a82131
122910870b99
131459757b53
1498d77dc57
15584095990
hex350045da5

14227365285 has 80 divisors (see below), whose sum is σ = 29174745600. Its totient is φ = 6497812224.

The previous prime is 14227365259. The next prime is 14227365289. The reversal of 14227365285 is 58256372241.

14227365285 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 7 + 365 + 285 = 666.

It is not a de Polignac number, because 14227365285 - 26 = 14227365221 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14227365285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14227365289) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4559956 + ... + 4563074.

It is an arithmetic number, because the mean of its divisors is an integer number (364684320).

Almost surely, 214227365285 is an apocalyptic number.

14227365285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14227365285 is an abundant number, since it is smaller than the sum of its proper divisors (14947380315).

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

14227365285 is a wasteful number, since it uses less digits than its factorization.

14227365285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4743 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 14227365285 in words is "fourteen billion, two hundred twenty-seven million, three hundred sixty-five thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1609 2835 3119 4827 8045 9357 11263 14481 15595 21833 24135 28071 33789 43443 46785 56315 65499 72405 84213 101367 109165 130329 140355 168945 196497 217215 252639 304101 327495 421065 506835 589491 651645 912303 982485 1263195 1520505 1768473 2947455 4561515 5018471 8842365 15055413 25092355 35129297 45166239 75277065 105387891 135498717 175646485 225831195 316163673 406496151 526939455 677493585 948491019 1580818365 2032480755 2845473057 4742455095 14227365285