Base | Representation |
---|---|
bin | 1000001111101100… |
… | …0111011001110000 |
3 | 12201020201220102200 |
4 | 2003323013121300 |
5 | 14013101441422 |
6 | 1003342543200 |
7 | 105563561664 |
oct | 20373073160 |
9 | 5636656380 |
10 | 2213312112 |
11 | a363a2170 |
12 | 519297b00 |
13 | 29371294b |
14 | 16dd448a4 |
15 | ce49b2ac |
hex | 83ec7670 |
2213312112 has 120 divisors (see below), whose sum is σ = 6850232688. Its totient is φ = 661478400.
The previous prime is 2213312083. The next prime is 2213312137. The reversal of 2213312112 is 2112133122.
2213312112 is a `hidden beast` number, since 221 + 331 + 2 + 112 = 666.
2213312112 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 an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106062 + ... + 125202.
Almost surely, 22213312112 is an apocalyptic number.
2213312112 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 2213312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425116344).
2213312112 is an abundant number, since it is smaller than the sum of its proper divisors (4636920576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213312112 is a wasteful number, since it uses less digits than its factorization.
2213312112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19239 (or 19230 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 2213312112 is about 47045.8511667076. The cubic root of 2213312112 is about 1303.2094490619.
Adding to 2213312112 its reverse (2112133122), we get a palindrome (4325445234).
The spelling of 2213312112 in words is "two billion, two hundred thirteen million, three hundred twelve thousand, one hundred twelve".
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