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14217223696 = 2413222932
BaseRepresentation
bin11010011110110100…
…11001111000010000
31100200211012210110121
431033122121320100
5213104102124241
610310432240024
71012213256524
oct151732317020
940624183417
1014217223696
116036285655
1229093a0014
131457616a00
1498c29dd84
15583240ad1
hex34f699e10

14217223696 has 45 divisors (see below), whose sum is σ = 29840791239. Its totient is φ = 6558933888.

The previous prime is 14217223681. The next prime is 14217223711. The reversal of 14217223696 is 69632271241.

The square root of 14217223696 is 119236.

It is a perfect power (a square), and thus also a powerful number.

14217223696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14217223681) and next prime (14217223711).

It can be written as a sum of positive squares in 4 ways, for example, as 4628897296 + 9588326400 = 68036^2 + 97920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6199126 + ... + 6201418.

Almost surely, 214217223696 is an apocalyptic number.

14217223696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14217223696 is the 119236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14217223696

14217223696 is an abundant number, since it is smaller than the sum of its proper divisors (15623567543).

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

14217223696 is an frugal number, since it uses more digits than its factorization.

14217223696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 2308 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The spelling of 14217223696 in words is "fourteen billion, two hundred seventeen million, two hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2293 2704 4586 9172 18344 29809 36688 59618 119236 238472 387517 476944 775034 1550068 3100136 5257849 6200272 10515698 21031396 42062792 68352037 84125584 136704074 273408148 546816296 888576481 1093632592 1777152962 3554305924 7108611848 14217223696