Search a number
-
+
2214043600056 = 2334122930833187
BaseRepresentation
bin100000001101111111010…
…010000100010010111000
321211122211111122100001220
4200031333102010102320
5242233330130200211
64413041222112040
7315650031041331
oct40157722042270
97748744570056
102214043600056
11783a7498a622
122b911a87b620
13130a25219762
1479235b57288
153c8d42e8806
hex2037f4844b8

2214043600056 has 128 divisors (see below), whose sum is σ = 5698506643200. Its totient is φ = 716412625920.

The previous prime is 2214043600009. The next prime is 2214043600057. The reversal of 2214043600056 is 6500063404122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214043600057) 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, 694709295 + ... + 694712481.

It is an arithmetic number, because the mean of its divisors is an integer number (44519583150).

Almost surely, 22214043600056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214043600056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849253321600).

2214043600056 is an abundant number, since it is smaller than the sum of its proper divisors (3484463043144).

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

2214043600056 is a wasteful number, since it uses less digits than its factorization.

2214043600056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6549 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 2214043600056 in words is "two trillion, two hundred fourteen billion, forty-three million, six hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 229 246 328 458 492 687 916 984 1374 1832 2748 3083 3187 5496 6166 6374 9249 9389 9561 12332 12748 18498 18778 19122 24664 25496 28167 36996 37556 38244 56334 73992 75112 76488 112668 126403 130667 225336 252806 261334 379209 392001 505612 522668 706007 729823 758418 784002 1011224 1045336 1412014 1459646 1516836 1568004 2118021 2189469 2824028 2919292 3033672 3136008 4236042 4378938 5648056 5838584 8472084 8757876 9825521 16944168 17515752 19651042 28946287 29476563 29922743 39302084 57892574 58953126 59845486 78604168 86838861 89768229 115785148 117906252 119690972 173677722 179536458 231570296 235812504 239381944 347355444 359072916 402846361 694710888 718145832 805692722 1208539083 1611385444 2250044309 2417078166 3222770888 4500088618 4834156332 6750132927 9000177236 9668312664 13500265854 18000354472 27000531708 54001063416 92251816669 184503633338 276755450007 369007266676 553510900014 738014533352 1107021800028 2214043600056