Base | Representation |
---|---|
bin | 11101011011010100100… |
… | …101000101010111011110 |
3 | 21011022122200011121112000 |
4 | 131123110211011113132 |
5 | 231112431441321342 |
6 | 4144553020023130 |
7 | 266046012625053 |
oct | 35332445052736 |
9 | 7138580147460 |
10 | 2022201120222 |
11 | 70a6798a5028 |
12 | 287abb091aa6 |
13 | 118900c734ba |
14 | 6dc3722502a |
15 | 379070d744c |
hex | 1d6d49455de |
2022201120222 has 128 divisors (see below), whose sum is σ = 4715129664000. Its totient is φ = 641823471360.
The previous prime is 2022201120209. The next prime is 2022201120239. The reversal of 2022201120222 is 2220211022202.
2022201120222 is a `hidden beast` number, since 202 + 220 + 1 + 1 + 20 + 222 = 666.
It is a super-2 number, since 2×20222011202222 (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 = 2022201120195 and 2022201120204.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 18101328 + ... + 18212700.
It is an arithmetic number, because the mean of its divisors is an integer number (36836950500).
Almost surely, 22022201120222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2022201120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357564832000).
2022201120222 is an abundant number, since it is smaller than the sum of its proper divisors (2692928543778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022201120222 is a wasteful number, since it uses less digits than its factorization.
2022201120222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 111623 (or 111617 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2022201120222 its reverse (2220211022202), we get a palindrome (4242412142424).
The spelling of 2022201120222 in words is "two trillion, twenty-two billion, two hundred one million, one hundred twenty thousand, two hundred twenty-two".
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