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14217105 = 357223292
BaseRepresentation
bin110110001110…
…111110010001
3222202022012110
4312032332101
512114421410
61224415533
7231562200
oct66167621
928668173
1014217105
118030581
1249175a9
132c3a1b6
141c61237
1513ac720
hexd8ef91

14217105 has 72 divisors (see below), whose sum is σ = 28596672. Its totient is φ = 6002304.

The previous prime is 14217079. The next prime is 14217107. The reversal of 14217105 is 50171241.

It is a happy number.

It is not a de Polignac number, because 14217105 - 26 = 14217041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14217107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 490231 + ... + 490259.

It is an arithmetic number, because the mean of its divisors is an integer number (397176).

Almost surely, 214217105 is an apocalyptic number.

14217105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14217105 is an abundant number, since it is smaller than the sum of its proper divisors (14379567).

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

14217105 is a wasteful number, since it uses less digits than its factorization.

14217105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 14217105 is about 3770.5576510644. The cubic root of 14217105 is about 242.2536840693.

Adding to 14217105 its reverse (50171241), we get a palindrome (64388346).

The spelling of 14217105 in words is "fourteen million, two hundred seventeen thousand, one hundred five".

Divisors: 1 3 5 7 15 21 23 29 35 49 69 87 105 115 145 147 161 203 245 345 435 483 609 667 735 805 841 1015 1127 1421 2001 2415 2523 3045 3335 3381 4205 4263 4669 5635 5887 7105 10005 12615 14007 16905 17661 19343 21315 23345 29435 32683 41209 58029 70035 88305 96715 98049 123627 135401 163415 206045 290145 406203 490245 618135 677005 947807 2031015 2843421 4739035 14217105