Search a number
-
+
2220220202022 = 2323743169945631
BaseRepresentation
bin100000010011101111011…
…011111011110000100110
321212020202222000020002200
4200103233123323300212
5242334002332431042
64415542144115330
7316256061223254
oct40235733736046
97766688006080
102220220202022
11786654472049
122ba363305b46
1313149aa69814
14796601b75d4
153cb466b7c4c
hex204ef6fbc26

2220220202022 has 96 divisors (see below), whose sum is σ = 5058471475200. Its totient is φ = 702896201280.

The previous prime is 2220220201987. The next prime is 2220220202023. The reversal of 2220220202022 is 2202020220222.

2220220202022 is a `hidden beast` number, since 2 + 220 + 220 + 20 + 202 + 2 = 666.

It is a super-2 number, since 2×22202202020222 (a number of 25 digits) contains 22 as substring.

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 = 2220220201986 and 2220220202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220220202023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48633147 + ... + 48678777.

It is an arithmetic number, because the mean of its divisors is an integer number (52692411200).

Almost surely, 22220220202022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220220202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529235737600).

2220220202022 is an abundant number, since it is smaller than the sum of its proper divisors (2838251273178).

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

2220220202022 is a wasteful number, since it uses less digits than its factorization.

2220220202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47418 (or 47415 counting only the distinct ones).

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

Adding to 2220220202022 its reverse (2202020220222), we get a palindrome (4422240422244).

It can be divided in two parts, 2220220 and 202022, that added together give a palindrome (2422242).

The spelling of 2220220202022 in words is "two trillion, two hundred twenty billion, two hundred twenty million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 387 666 774 1591 1699 3182 3398 4773 5097 9546 10194 14319 15291 28638 30582 45631 62863 73057 91262 125726 136893 146114 188589 219171 273786 377178 410679 438342 565767 657513 821358 1131534 1315026 1688347 1962133 2703109 3376694 3924266 5065041 5406218 5886399 8109327 10130082 11772798 15195123 16218654 17659197 24327981 30390246 35318394 48655962 72598921 77527069 145197842 155054138 217796763 232581207 435593526 465162414 653390289 697743621 1306780578 1395487242 2868501553 3333663967 5737003106 6667327934 8605504659 10000991901 17211009318 20001983802 25816513977 30002975703 51633027954 60005951406 123345566779 246691133558 370036700337 740073400674 1110110101011 2220220202022