Base | Representation |
---|---|
bin | 110010010001011101011111… |
… | …011010100001101011100000 |
3 | 1001222212011111000122210201100 |
4 | 302101131133122201223200 |
5 | 212440014322342020000 |
6 | 2102124543023034400 |
7 | 64400052116536452 |
oct | 6221353732415340 |
9 | 1058764430583640 |
10 | 221102222220000 |
11 | 644a4a20358130 |
12 | 2096b112a3ba00 |
13 | 964ab0885c254 |
14 | 3c8559452c2d2 |
15 | 1a86599a31a00 |
hex | c9175f6a1ae0 |
221102222220000 has 720 divisors, whose sum is σ = 857422191658032. Its totient is φ = 53581946880000.
The previous prime is 221102222219999. The next prime is 221102222220001. The reversal of 221102222220000 is 22222201122.
221102222220000 is a `hidden beast` number, since 221 + 1 + 0 + 2 + 222 + 220 + 0 + 0 + 0 = 666.
221102222220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (221102222219999) and next prime (221102222220001).
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221102222220001) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6211242202 + ... + 6211277798.
Almost surely, 2221102222220000 is an apocalyptic number.
221102222220000 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 221102222220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428711095829016).
221102222220000 is an abundant number, since it is smaller than the sum of its proper divisors (636319969438032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221102222220000 is a wasteful number, since it uses less digits than its factorization.
221102222220000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38781 (or 38755 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 221102222220000 its reverse (22222201122), we get a palindrome (221124444421122).
The spelling of 221102222220000 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty thousand".
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