Base | Representation |
---|---|
bin | 1000010001100011… |
… | …1111000000000100 |
3 | 12201210110201001021 |
4 | 2010120333000010 |
5 | 14022103021040 |
6 | 1004222440524 |
7 | 106020252466 |
oct | 20430770004 |
9 | 5653421037 |
10 | 2221142020 |
11 | a3a85a969 |
12 | 51ba33144 |
13 | 295224826 |
14 | 170dc2136 |
15 | ceee624a |
hex | 8463f004 |
2221142020 has 48 divisors (see below), whose sum is σ = 4769957808. Its totient is φ = 868474880.
The previous prime is 2221142003. The next prime is 2221142023. The reversal of 2221142020 is 202411222.
It can be written as a sum of positive squares in 8 ways, for example, as 2166784 + 2218975236 = 1472^2 + 47106^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2221141985 and 2221142003.
It is not an unprimeable number, because it can be changed into a prime (2221142023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294132 + ... + 301588.
It is an arithmetic number, because the mean of its divisors is an integer number (99374121).
Almost surely, 22221142020 is an apocalyptic number.
2221142020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2221142020 is an abundant number, since it is smaller than the sum of its proper divisors (2548815788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221142020 is a wasteful number, since it uses less digits than its factorization.
2221142020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7800 (or 7798 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 2221142020 is about 47128.9934116993. The cubic root of 2221142020 is about 1304.7444036840.
Adding to 2221142020 its reverse (202411222), we get a palindrome (2423553242).
The spelling of 2221142020 in words is "two billion, two hundred twenty-one million, one hundred forty-two thousand, twenty".
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