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14228760 = 23357131303
BaseRepresentation
bin110110010001…
…110100011000
3222202220012010
4312101310120
512120310020
61224545520
7231641160
oct66216430
928686163
1014228760
118039307
1249222a0
132c425b0
141c655a0
1513b0de0
hexd91d18

14228760 has 128 divisors (see below), whose sum is σ = 52577280. Its totient is φ = 2999808.

The previous prime is 14228741. The next prime is 14228761. The reversal of 14228760 is 6782241.

It is a super-2 number, since 2×142287602 = 404915222275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14228761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10269 + ... + 11571.

It is an arithmetic number, because the mean of its divisors is an integer number (410760).

Almost surely, 214228760 is an apocalyptic number.

14228760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14228760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26288640).

14228760 is an abundant number, since it is smaller than the sum of its proper divisors (38348520).

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

14228760 is a wasteful number, since it uses less digits than its factorization.

14228760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 14228760 is about 3772.1028618000. The cubic root of 14228760 is about 242.3198648070.

The spelling of 14228760 in words is "fourteen million, two hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1303 1365 1560 1820 2184 2606 2730 3640 3909 5212 5460 6515 7818 9121 10424 10920 13030 15636 16939 18242 19545 26060 27363 31272 33878 36484 39090 45605 50817 52120 54726 67756 72968 78180 84695 91210 101634 109452 118573 135512 136815 156360 169390 182420 203268 218904 237146 254085 273630 338780 355719 364840 406536 474292 508170 547260 592865 677560 711438 948584 1016340 1094520 1185730 1422876 1778595 2032680 2371460 2845752 3557190 4742920 7114380 14228760