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14227920 = 243357941
BaseRepresentation
bin110110010001…
…100111010000
3222202212001000
4312101213100
512120243140
61224542000
7231635550
oct66214720
928685030
1014227920
118038713
124921900
132c420b5
141c65160
1513b0a30
hexd919d0

14227920 has 160 divisors (see below), whose sum is σ = 56067840. Its totient is φ = 3248640.

The previous prime is 14227907. The next prime is 14227921. The reversal of 14227920 is 2972241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14227921) 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, 14650 + ... + 15590.

It is an arithmetic number, because the mean of its divisors is an integer number (350424).

Almost surely, 214227920 is an apocalyptic number.

14227920 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 14227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28033920).

14227920 is an abundant number, since it is smaller than the sum of its proper divisors (41839920).

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

14227920 is a wasteful number, since it uses less digits than its factorization.

14227920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14227920 is about 3771.9915164274. The cubic root of 14227920 is about 242.3150962329.

The spelling of 14227920 in words is "fourteen million, two hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 941 945 1008 1080 1260 1512 1680 1882 1890 2160 2520 2823 3024 3764 3780 4705 5040 5646 6587 7528 7560 8469 9410 11292 13174 14115 15056 15120 16938 18820 19761 22584 25407 26348 28230 32935 33876 37640 39522 42345 45168 50814 52696 56460 59283 65870 67752 75280 79044 84690 98805 101628 105392 112920 118566 127035 131740 135504 158088 169380 177849 197610 203256 225840 237132 254070 263480 296415 316176 338760 355698 395220 406512 474264 508140 526960 592830 677520 711396 790440 889245 948528 1016280 1185660 1422792 1580880 1778490 2032560 2371320 2845584 3556980 4742640 7113960 14227920