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14132230220 = 225171311811753
BaseRepresentation
bin11010010100101100…
…01011100001001100
31100110220021200100002
431022112023201030
5212420322331340
610254154423432
71010131655243
oct151226134114
940426250302
1014132230220
115aa2303809
1228a4a31b78
131442b28804
14980c9795a
1557aa52715
hex34a58b84c

14132230220 has 96 divisors (see below), whose sum is σ = 31856400576. Its totient is φ = 5247590400.

The previous prime is 14132230213. The next prime is 14132230223. The reversal of 14132230220 is 2203223141.

14132230220 = T465 + T466 + ... + T4394.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14132230192 and 14132230201.

It is not an unprimeable number, because it can be changed into a prime (14132230223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8060864 + ... + 8062616.

It is an arithmetic number, because the mean of its divisors is an integer number (331837506).

Almost surely, 214132230220 is an apocalyptic number.

14132230220 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 14132230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928200288).

14132230220 is an abundant number, since it is smaller than the sum of its proper divisors (17724170356).

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

14132230220 is a wasteful number, since it uses less digits than its factorization.

14132230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14132230220 its reverse (2203223141), we get a palindrome (16335453361).

The spelling of 14132230220 in words is "fourteen billion, one hundred thirty-two million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 131 170 181 262 340 362 524 655 724 905 1310 1753 1810 2227 2620 3077 3506 3620 4454 6154 7012 8765 8908 11135 12308 15385 17530 22270 23711 29801 30770 35060 44540 47422 59602 61540 94844 118555 119204 149005 229643 237110 298010 317293 403087 459286 474220 596020 634586 806174 918572 1148215 1269172 1586465 1612348 2015435 2296430 3172930 3903931 4030870 4592860 5393981 6345860 7807862 8061740 10787962 15615724 19519655 21575924 26969905 39039310 41565383 53939810 78078620 83130766 107879620 166261532 207826915 415653830 706611511 831307660 1413223022 2826446044 3533057555 7066115110 14132230220