Base | Representation |
---|---|
bin | 111111001111110… |
… | …1000011000111000 |
3 | 12110220100000001221 |
4 | 1332133220120320 |
5 | 13321242033422 |
6 | 550330321424 |
7 | 103406403364 |
oct | 17637503070 |
9 | 5426300057 |
10 | 2122221112 |
11 | 999a36150 |
12 | 4b2889274 |
13 | 27a89b24b |
14 | 161bd22a4 |
15 | c64a63c7 |
hex | 7e7e8638 |
2122221112 has 128 divisors (see below), whose sum is σ = 4875552000. Its totient is φ = 853493760.
The previous prime is 2122221083. The next prime is 2122221133. The reversal of 2122221112 is 2111222212.
It is a happy number.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5599339 + ... + 5599717.
It is an arithmetic number, because the mean of its divisors is an integer number (38090250).
Almost surely, 22122221112 is an apocalyptic number.
2122221112 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 2122221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437776000).
2122221112 is an abundant number, since it is smaller than the sum of its proper divisors (2753330888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122221112 is a wasteful number, since it uses less digits than its factorization.
2122221112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 629 (or 625 counting only the distinct ones).
The product of its digits is 64, while the sum is 16.
The square root of 2122221112 is about 46067.5711536868. The cubic root of 2122221112 is about 1285.0801348987.
Adding to 2122221112 its reverse (2111222212), we get a palindrome (4233443324).
The spelling of 2122221112 in words is "two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".
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