Base | Representation |
---|---|
bin | 1000001100100011… |
… | …0101101011100000 |
3 | 12200022221022011020 |
4 | 2003020311223200 |
5 | 14001213213240 |
6 | 1002152245440 |
7 | 105343546641 |
oct | 20310655340 |
9 | 5608838136 |
10 | 2200132320 |
11 | a29a0aa81 |
12 | 5149a0880 |
13 | 290a79959 |
14 | 16c2b36c8 |
15 | cd2460d0 |
hex | 83235ae0 |
2200132320 has 96 divisors (see below), whose sum is σ = 6981212448. Its totient is φ = 582402048.
The previous prime is 2200132313. The next prime is 2200132331. The reversal of 2200132320 is 232310022.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2200132320.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49032 + ... + 82488.
It is an arithmetic number, because the mean of its divisors is an integer number (72720963).
Almost surely, 22200132320 is an apocalyptic number.
2200132320 is a gapful number since it is divisible by the number (20) 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 2200132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490606224).
2200132320 is an abundant number, since it is smaller than the sum of its proper divisors (4781080128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200132320 is a wasteful number, since it uses less digits than its factorization.
2200132320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33612 (or 33604 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 2200132320 is about 46905.5681129650. The cubic root of 2200132320 is about 1300.6175212166.
Adding to 2200132320 its reverse (232310022), we get a palindrome (2432442342).
The spelling of 2200132320 in words is "two billion, two hundred million, one hundred thirty-two thousand, three hundred twenty".
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