Base | Representation |
---|---|
bin | 1000010001100010… |
… | …0001001101110100 |
3 | 12201210020111200202 |
4 | 2010120201031310 |
5 | 14022040120040 |
6 | 1004220100032 |
7 | 106016234012 |
oct | 20430411564 |
9 | 5653214622 |
10 | 2221020020 |
11 | a3a78723a |
12 | 51b994618 |
13 | 2951b113b |
14 | 170d8d8b2 |
15 | ceec0015 |
hex | 84621374 |
2221020020 has 48 divisors (see below), whose sum is σ = 4796139600. Its totient is φ = 863431680.
The previous prime is 2221020019. The next prime is 2221020023. The reversal of 2221020020 is 200201222.
It can be written as a sum of positive squares in 8 ways, for example, as 1020674704 + 1200345316 = 31948^2 + 34646^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2221019983 and 2221020010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2221020023) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215546 + ... + 225614.
It is an arithmetic number, because the mean of its divisors is an integer number (99919575).
Almost surely, 22221020020 is an apocalyptic number.
2221020020 is a gapful number since it is divisible by the number (20) 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 2221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398069800).
2221020020 is an abundant number, since it is smaller than the sum of its proper divisors (2575119580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221020020 is a wasteful number, since it uses less digits than its factorization.
2221020020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10388 (or 10386 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 11.
The square root of 2221020020 is about 47127.6990738992. The cubic root of 2221020020 is about 1304.7205148121.
Adding to 2221020020 its reverse (200201222), we get a palindrome (2421221242).
The spelling of 2221020020 in words is "two billion, two hundred twenty-one million, twenty thousand, twenty".
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