Search a number
-
+
2002200222222 = 234131373252937
BaseRepresentation
bin11101001000101100011…
…011101101101000001110
321002102000202221201110000
4131020230123231220032
5230301001224102342
64131444215225130
7264440250041064
oct35105433555016
97072022851400
102002200222222
11702145912362
122840589781a6
13116a64342c05
146cc9ab88034
153713624044c
hex1d22c6eda0e

2002200222222 has 80 divisors (see below), whose sum is σ = 4532796675792. Its totient is φ = 660527187840.

The previous prime is 2002200222221. The next prime is 2002200222223. The reversal of 2002200222222 is 2222220022002.

2002200222222 is a `hidden beast` number, since 2 + 0 + 0 + 220 + 0 + 222 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (2002200222221) and next prime (2002200222223).

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 = 2002200222195 and 2002200222204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200222221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7789338 + ... + 8042274.

Almost surely, 22002200222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002200222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266398337896).

2002200222222 is an abundant number, since it is smaller than the sum of its proper divisors (2530596453570).

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

2002200222222 is a wasteful number, since it uses less digits than its factorization.

2002200222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253455 (or 253446 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2002200222222 its reverse (2222220022002), we get a palindrome (4224420244224).

The spelling of 2002200222222 in words is "two trillion, two billion, two hundred million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 373 393 746 786 1119 1179 2238 2358 3357 3537 6714 7074 10071 10611 20142 21222 30213 48863 60426 97726 146589 252937 293178 439767 505874 758811 879534 1319301 1517622 2276433 2638602 3957903 4552866 6829299 7915806 13658598 20487897 33134747 40975794 66269494 94345501 99404241 188691002 198808482 283036503 298212723 566073006 596425446 849109509 894638169 1698219018 1789276338 2547328527 2683914507 5094657054 5367829014 7641985581 12359260631 15283971162 24718521262 37077781893 74155563786 111233345679 222466691358 333700037037 667400074074 1001100111111 2002200222222