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14228162208 = 2532133800257
BaseRepresentation
bin11010100000001000…
…01000011010100000
31100201120210112021200
431100010020122200
5213114402142313
610311502521200
71012405245321
oct152004103240
940646715250
1014228162208
116041476947
122910b96200
1314599767c0
1498d90a448
155841a1b73
hex3501086a0

14228162208 has 72 divisors (see below), whose sum is σ = 43573758228. Its totient is φ = 4377894912.

The previous prime is 14228162173. The next prime is 14228162213. The reversal of 14228162208 is 80226182241.

14228162208 is a `hidden beast` number, since 1 + 4 + 2 + 28 + 1 + 622 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12613086864 + 1615075344 = 112308^2 + 40188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896385 + ... + 1903872.

Almost surely, 214228162208 is an apocalyptic number.

14228162208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14228162208 is an abundant number, since it is smaller than the sum of its proper divisors (29345596020).

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

14228162208 is a wasteful number, since it uses less digits than its factorization.

14228162208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800286 (or 3800275 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14228162208 in words is "fourteen billion, two hundred twenty-eight million, one hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 3800257 7600514 11400771 15201028 22801542 30402056 34202313 45603084 49403341 60804112 68404626 91206168 98806682 121608224 136809252 148210023 182412336 197613364 273618504 296420046 364824672 395226728 444630069 547237008 592840092 790453456 889260138 1094474016 1185680184 1580906912 1778520276 2371360368 3557040552 4742720736 7114081104 14228162208