Base | Representation |
---|---|
bin | 1010000000111011100100… |
… | …00001000111001111001001 |
3 | 2212222022011200202111002122 |
4 | 11000131302001013033021 |
5 | 10341302441304033001 |
6 | 114500510321141025 |
7 | 4432023620212604 |
oct | 500356201071711 |
9 | 85868150674078 |
10 | 22022210221001 |
11 | 7020626608671 |
12 | 257807578a775 |
13 | c398bb0c26c3 |
14 | 561c4877133b |
15 | 282cacb69b1b |
hex | 1407720473c9 |
22022210221001 has 16 divisors (see below), whose sum is σ = 22575606708816. Its totient is φ = 21469593600000.
The previous prime is 22022210220977. The next prime is 22022210221013. The reversal of 22022210221001 is 10012201222022.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 841035726400 + 21181174494601 = 917080^2 + 4602301^2 .
It is a cyclic number.
It is not a de Polignac number, because 22022210221001 - 26 = 22022210220937 is a prime.
It is a super-2 number, since 2×220222102210012 (a number of 27 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (22022210221031) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382294601 + ... + 382352201.
It is an arithmetic number, because the mean of its divisors is an integer number (1410975419301).
Almost surely, 222022210221001 is an apocalyptic number.
It is an amenable number.
22022210221001 is a deficient number, since it is larger than the sum of its proper divisors (553396487815).
22022210221001 is a wasteful number, since it uses less digits than its factorization.
22022210221001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64204.
The product of its (nonzero) digits is 128, while the sum is 17.
Adding to 22022210221001 its reverse (10012201222022), we get a palindrome (32034411443023).
The spelling of 22022210221001 in words is "twenty-two trillion, twenty-two billion, two hundred ten million, two hundred twenty-one thousand, one".
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