Base | Representation |
---|---|
bin | 111011100110101… |
… | …1110101001100000 |
3 | 12011101101122120001 |
4 | 1313031132221200 |
5 | 13044001201422 |
6 | 530243225344 |
7 | 100363623154 |
oct | 16715365140 |
9 | 5141348501 |
10 | 2000022112 |
11 | 936a62240 |
12 | 479978254 |
13 | 25b48444a |
14 | 14d8a3064 |
15 | ba8b9227 |
hex | 7735ea60 |
2000022112 has 48 divisors (see below), whose sum is σ = 4305247632. Its totient is φ = 907038720.
The previous prime is 2000022097. The next prime is 2000022119. The reversal of 2000022112 is 2112200002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2000022119) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154648 + ... + 167080.
It is an arithmetic number, because the mean of its divisors is an integer number (89692659).
Almost surely, 22000022112 is an apocalyptic number.
2000022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152623816).
2000022112 is an abundant number, since it is smaller than the sum of its proper divisors (2305225520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000022112 is a wasteful number, since it uses less digits than its factorization.
2000022112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12911 (or 12903 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 2000022112 is about 44721.6067689881. The cubic root of 2000022112 is about 1259.9256931068.
Adding to 2000022112 its reverse (2112200002), we get a palindrome (4112222114).
It can be divided in two parts, 200002 and 2112, that multiplied together give a palindrome (422404224).
The spelling of 2000022112 in words is "two billion, twenty-two thousand, one hundred twelve".
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