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14000220 = 223251331193
BaseRepresentation
bin110101011010…
…000001011100
3222100021200200
4311122001130
512041001340
61220023500
7226666653
oct65320134
928307620
1014000220
1179a2633
124831b90
132b92570
141c0619a
151368330
hexd5a05c

14000220 has 144 divisors (see below), whose sum is σ = 47453952. Its totient is φ = 3317760.

The previous prime is 14000209. The next prime is 14000221. The reversal of 14000220 is 2200041.

14000220 = 5722 + 5732 + ... + 6112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000221) 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 47 ways as a sum of consecutive naturals, for example, 72444 + ... + 72636.

Almost surely, 214000220 is an apocalyptic number.

14000220 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 14000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23726976).

14000220 is an abundant number, since it is smaller than the sum of its proper divisors (33453732).

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

14000220 is a wasteful number, since it uses less digits than its factorization.

14000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14000220 is about 3741.6867853951. The cubic root of 14000220 is about 241.0154888664.

Adding to 14000220 its reverse (2200041), we get a palindrome (16200261).

The spelling of 14000220 in words is "fourteen million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 193 195 234 260 279 310 372 386 390 403 465 468 558 579 585 620 772 780 806 930 965 1116 1158 1170 1209 1395 1612 1737 1860 1930 2015 2316 2340 2418 2509 2790 2895 3474 3627 3860 4030 4836 5018 5580 5790 5983 6045 6948 7254 7527 8060 8685 10036 11580 11966 12090 12545 14508 15054 17370 17949 18135 22581 23932 24180 25090 29915 30108 34740 35898 36270 37635 45162 50180 53847 59830 71796 72540 75270 77779 89745 90324 107694 112905 119660 150540 155558 179490 215388 225810 233337 269235 311116 358980 388895 451620 466674 538470 700011 777790 933348 1076940 1166685 1400022 1555580 2333370 2800044 3500055 4666740 7000110 14000220