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14122114230 = 2357192186283
BaseRepresentation
bin11010010011011111…
…00101110010110110
31100110012020201210210
431021233211302312
5212410230123410
610253153530250
71006646663460
oct151157456266
940405221723
1014122114230
115a97624494
1228a1573986
1314409c6213
1497d7c3130
15579c05220
hex349be5cb6

14122114230 has 96 divisors (see below), whose sum is σ = 40881141504. Its totient is φ = 3058005312.

The previous prime is 14122114129. The next prime is 14122114243. The reversal of 14122114230 is 3241122141.

It is a super-2 number, since 2×141221142302 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14122114197 and 14122114206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17332 + ... + 168951.

It is an arithmetic number, because the mean of its divisors is an integer number (425845224).

Almost surely, 214122114230 is an apocalyptic number.

14122114230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122114230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20440570752).

14122114230 is an abundant number, since it is smaller than the sum of its proper divisors (26759027274).

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

14122114230 is a wasteful number, since it uses less digits than its factorization.

14122114230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186338 (or 186319 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14122114230 its reverse (3241122141), we get a palindrome (17363236371).

The spelling of 14122114230 in words is "fourteen billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 361 399 570 665 722 798 1083 1330 1805 1995 2166 2527 3610 3990 5054 5415 7581 10830 12635 15162 25270 37905 75810 186283 372566 558849 931415 1117698 1303981 1862830 2607962 2794245 3539377 3911943 5588490 6519905 7078754 7823886 10618131 13039810 17696885 19559715 21236262 24775639 35393770 39119430 49551278 53090655 67248163 74326917 106181310 123878195 134496326 148653834 201744489 247756390 336240815 371634585 403488978 470737141 672481630 743269170 941474282 1008722445 1412211423 2017444890 2353685705 2824422846 4707371410 7061057115 14122114230