Base | Representation |
---|---|
bin | 111111100010111… |
… | …0001100110011000 |
3 | 12111121011000101200 |
4 | 1333011301212120 |
5 | 13331322022222 |
6 | 551324514200 |
7 | 103560400515 |
oct | 17705614630 |
9 | 5447130350 |
10 | 2132220312 |
11 | 9a4645752 |
12 | 4b60ab960 |
13 | 27c98c631 |
14 | 16327630c |
15 | c72cdeac |
hex | 7f171998 |
2132220312 has 96 divisors (see below), whose sum is σ = 6014904480. Its totient is φ = 681730560.
The previous prime is 2132220253. The next prime is 2132220319. The reversal of 2132220312 is 2130222312.
2132220312 is a `hidden beast` number, since 2 + 132 + 220 + 312 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2132220319) 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 23 ways as a sum of consecutive naturals, for example, 183508 + ... + 194780.
It is an arithmetic number, because the mean of its divisors is an integer number (62655255).
Almost surely, 22132220312 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 2132220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007452240).
2132220312 is an abundant number, since it is smaller than the sum of its proper divisors (3882684168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132220312 is a wasteful number, since it uses less digits than its factorization.
2132220312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11393 (or 11386 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2132220312 is about 46175.9711538371. The cubic root of 2132220312 is about 1287.0952633864.
Adding to 2132220312 its reverse (2130222312), we get a palindrome (4262442624).
The spelling of 2132220312 in words is "two billion, one hundred thirty-two million, two hundred twenty thousand, three hundred twelve".
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