Base | Representation |
---|---|
bin | 111111001111110… |
… | …1000011001001100 |
3 | 12110220100000002200 |
4 | 1332133220121030 |
5 | 13321242034012 |
6 | 550330321500 |
7 | 103406403423 |
oct | 17637503114 |
9 | 5426300080 |
10 | 2122221132 |
11 | 999a36169 |
12 | 4b2889290 |
13 | 27a89b265 |
14 | 161bd22ba |
15 | c64a63dc |
hex | 7e7e864c |
2122221132 has 72 divisors (see below), whose sum is σ = 5605008864. Its totient is φ = 675772416.
The previous prime is 2122221083. The next prime is 2122221133. The reversal of 2122221132 is 2311222212.
It is a super-2 number, since 2×21222211322 = 9007645066214722848, which contains 22 as substring.
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.
It is not an unprimeable number, because it can be changed into a prime (2122221133) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003308 + ... + 1005420.
Almost surely, 22122221132 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 2122221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802504432).
2122221132 is an abundant number, since it is smaller than the sum of its proper divisors (3482787732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122221132 is a wasteful number, since it uses less digits than its factorization.
2122221132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3359 (or 3354 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 2122221132 is about 46067.5713707593. The cubic root of 2122221132 is about 1285.0801389356.
Adding to 2122221132 its reverse (2311222212), we get a palindrome (4433443344).
The spelling of 2122221132 in words is "two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-two".
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