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14122234224 = 243374670051
BaseRepresentation
bin11010010011100000…
…00011000101110000
31100110012110211102000
431021300003011300
5212410242443344
610253200254000
71006651003350
oct151160030560
940405424360
1014122234224
115a976a665a
1228a1611300
131440a38a17
1497d814b60
15579c2aa69
hex349c03170

14122234224 has 80 divisors (see below), whose sum is σ = 46326915840. Its totient is φ = 4034923200.

The previous prime is 14122234219. The next prime is 14122234267. The reversal of 14122234224 is 42243222141.

It is a happy number.

14122234224 is a `hidden beast` number, since 1 + 4 + 12 + 223 + 422 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2332002 + ... + 2338049.

It is an arithmetic number, because the mean of its divisors is an integer number (579086448).

Almost surely, 214122234224 is an apocalyptic number.

14122234224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14122234224 is an abundant number, since it is smaller than the sum of its proper divisors (32204681616).

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

14122234224 is a wasteful number, since it uses less digits than its factorization.

14122234224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670075 (or 4670063 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 14122234224 its reverse (42243222141), we get a palindrome (56365456365).

The spelling of 14122234224 in words is "fourteen billion, one hundred twenty-two million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4670051 9340102 14010153 18680204 28020306 32690357 37360408 42030459 56040612 65380714 74720816 84060918 98071071 112081224 126091377 130761428 168121836 196142142 224162448 252182754 261522856 294213213 336243672 392284284 504365508 523045712 588426426 672487344 784568568 882639639 1008731016 1176852852 1569137136 1765279278 2017462032 2353705704 3530558556 4707411408 7061117112 14122234224