Base | Representation |
---|---|
bin | 1000001111011010… |
… | …0111000111110000 |
3 | 12201011111220200100 |
4 | 2003312213013300 |
5 | 14012301200222 |
6 | 1003301352400 |
7 | 105550543266 |
oct | 20366470760 |
9 | 5634456610 |
10 | 2212131312 |
11 | a35765aa6 |
12 | 518a08700 |
13 | 2933bb351 |
14 | 16db18436 |
15 | ce3164ac |
hex | 83da71f0 |
2212131312 has 60 divisors (see below), whose sum is σ = 6260492160. Its totient is φ = 729087744.
The previous prime is 2212131301. The next prime is 2212131319. The reversal of 2212131312 is 2131312122.
2212131312 is a `hidden beast` number, since 221 + 2 + 131 + 312 = 666.
2212131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2212131319) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73488 + ... + 99119.
It is an arithmetic number, because the mean of its divisors is an integer number (104341536).
Almost surely, 22212131312 is an apocalyptic number.
It is an amenable number.
2212131312 is an abundant number, since it is smaller than the sum of its proper divisors (4048360848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2212131312 is a wasteful number, since it uses less digits than its factorization.
2212131312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 172710 (or 172701 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 2212131312 is about 47033.3000330617. The cubic root of 2212131312 is about 1302.9776541508.
Adding to 2212131312 its reverse (2131312122), we get a palindrome (4343443434).
The spelling of 2212131312 in words is "two billion, two hundred twelve million, one hundred thirty-one thousand, three hundred twelve".
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