Base | Representation |
---|---|
bin | 1000001100100011… |
… | …0101101001110100 |
3 | 12200022221022000020 |
4 | 2003020311221310 |
5 | 14001213212322 |
6 | 1002152245140 |
7 | 105343546425 |
oct | 20310655164 |
9 | 5608838006 |
10 | 2200132212 |
11 | a29a0a993 |
12 | 5149a07b0 |
13 | 290a798a5 |
14 | 16c2b364c |
15 | cd24605c |
hex | 83235a74 |
2200132212 has 96 divisors (see below), whose sum is σ = 5400864000. Its totient is φ = 696192000.
The previous prime is 2200132177. The next prime is 2200132213. The reversal of 2200132212 is 2122310022.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 2200132191 and 2200132200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2200132213) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7829512 + ... + 7829792.
It is an arithmetic number, because the mean of its divisors is an integer number (56259000).
Almost surely, 22200132212 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2200132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700432000).
2200132212 is an abundant number, since it is smaller than the sum of its proper divisors (3200731788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200132212 is a wasteful number, since it uses less digits than its factorization.
2200132212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 617 (or 615 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2200132212 is about 46905.5669617157. The cubic root of 2200132212 is about 1300.6174999350.
Adding to 2200132212 its reverse (2122310022), we get a palindrome (4322442234).
The spelling of 2200132212 in words is "two billion, two hundred million, one hundred thirty-two thousand, two hundred twelve".
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