Search a number
-
+
2200112220222 = 23571453445087
BaseRepresentation
bin100000000001000000111…
…010000100100000111110
321210022212121021220200000
4200001000322010200332
5242021312212021342
64402415000215130
7314644555211520
oct40010072044076
97708777256600
102200112220222
11779075a9a774
122b649116a4a6
1312c614bb5337
14786b3823a10
153c36b21c44c
hex20040e8483e

2200112220222 has 96 divisors (see below), whose sum is σ = 5653571868672. Its totient is φ = 628169455584.

The previous prime is 2200112220211. The next prime is 2200112220277. The reversal of 2200112220222 is 2220222110022.

2200112220222 is a `hidden beast` number, since 220 + 0 + 1 + 1 + 2 + 220 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2200112220195 and 2200112220204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4720563 + ... + 5165649.

It is an arithmetic number, because the mean of its divisors is an integer number (58891373632).

Almost surely, 22200112220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200112220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826785934336).

2200112220222 is an abundant number, since it is smaller than the sum of its proper divisors (3453459648450).

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

2200112220222 is a wasteful number, since it uses less digits than its factorization.

2200112220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446564 (or 446552 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2200112220222 its reverse (2220222110022), we get a palindrome (4420334330244).

The spelling of 2200112220222 in words is "two trillion, two hundred billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1453 1701 2906 3402 4359 8718 10171 13077 20342 26154 30513 39231 61026 78462 91539 117693 183078 235386 274617 353079 445087 549234 706158 823851 890174 1335261 1647702 2471553 2670522 3115609 4005783 4943106 6231218 8011566 9346827 12017349 18693654 24034698 28040481 36052047 56080962 72104094 84121443 108156141 168242886 216312282 252364329 504728658 646711411 757092987 1293422822 1514185974 1940134233 3880268466 4526979877 5820402699 9053959754 11640805398 13580939631 17461208097 27161879262 34922416194 40742818893 52383624291 81485637786 104767248582 122228456679 157150872873 244456913358 314301745746 366685370037 733370740074 1100056110111 2200112220222