Search a number
-
+
222214201012122 = 231110993306275069
BaseRepresentation
bin110010100001101001000110…
…100000111110111110011010
31002010210110200201221021001120
4302201221012200332332122
5213111224140424341442
62104335443351430110
764543306024401264
oct6241510640767632
91063713621837046
10222214201012122
11648935713a4a20
1220b0a726385336
1396cb92b284ba7
143cc3320892b34
151aa547be644ec
hexca1a4683ef9a

222214201012122 has 32 divisors (see below), whose sum is σ = 484875089219520. Its totient is φ = 67331510949120.

The previous prime is 222214201012051. The next prime is 222214201012169. The reversal of 222214201012122 is 221210102412222.

222214201012122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2222142010121222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222214201012092 and 222214201012101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152411997 + ... + 153863072.

It is an arithmetic number, because the mean of its divisors is an integer number (15152346538110).

Almost surely, 2222214201012122 is an apocalyptic number.

222214201012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222214201012122 is an abundant number, since it is smaller than the sum of its proper divisors (262660888207398).

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

222214201012122 is a wasteful number, since it uses less digits than its factorization.

222214201012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306286078.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 222214201012122 its reverse (221210102412222), we get a palindrome (443424303424344).

The spelling of 222214201012122 in words is "two hundred twenty-two trillion, two hundred fourteen billion, two hundred one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 10993 21986 32979 65958 120923 241846 362769 725538 306275069 612550138 918825207 1837650414 3369025759 6738051518 10107077277 20214154554 3366881833517 6733763667034 10100645500551 20201291001102 37035700168687 74071400337374 111107100506061 222214201012122