Base | Representation |
---|---|
bin | 111111010000000… |
… | …0011010001100000 |
3 | 12110220112121010110 |
4 | 1332200003101200 |
5 | 13321304044412 |
6 | 550332531320 |
7 | 103410342420 |
oct | 17640032140 |
9 | 5426477113 |
10 | 2122331232 |
11 | 99a00095a |
12 | 4b2920b40 |
13 | 27a9093c8 |
14 | 161c20480 |
15 | c64c8d3c |
hex | 7e803460 |
2122331232 has 96 divisors (see below), whose sum is σ = 6376672512. Its totient is φ = 605458944.
The previous prime is 2122331227. The next prime is 2122331249. The reversal of 2122331232 is 2321332212.
It is a happy number.
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 (21).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2122331199 and 2122331208.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526858 + ... + 530870.
It is an arithmetic number, because the mean of its divisors is an integer number (66423672).
Almost surely, 22122331232 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 2122331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188336256).
2122331232 is an abundant number, since it is smaller than the sum of its proper divisors (4254341280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122331232 is a wasteful number, since it uses less digits than its factorization.
2122331232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4820 (or 4812 counting only the distinct ones).
The product of its digits is 864, while the sum is 21.
The square root of 2122331232 is about 46068.7663390284. The cubic root of 2122331232 is about 1285.1023617025.
Adding to 2122331232 its reverse (2321332212), we get a palindrome (4443663444).
The spelling of 2122331232 in words is "two billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-two".
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