Base | Representation |
---|---|
bin | 100000000001001101010… |
… | …011100100001010000110 |
3 | 21210100102002200220110200 |
4 | 200001031103210022012 |
5 | 242022223434330042 |
6 | 4402451350431330 |
7 | 314652662236215 |
oct | 40011523441206 |
9 | 7710362626420 |
10 | 2200320230022 |
11 | 7791724535a2 |
12 | 2b652a962546 |
13 | 12c649015365 |
14 | 786d32cd07c |
15 | 3c37e609c4c |
hex | 2004d4e4286 |
2200320230022 has 192 divisors, whose sum is σ = 5181625987200. Its totient is φ = 672288325632.
The previous prime is 2200320229997. The next prime is 2200320230027.
2200320230022 is a `hidden beast` number, since 2 + 20 + 0 + 320 + 2 + 300 + 22 = 666.
2200320230022 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×22003202300222 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2200320229977 and 2200320230004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2200320230027) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608999088 + ... + 609002700.
It is an arithmetic number, because the mean of its divisors is an integer number (26987635350).
Almost surely, 22200320230022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2200320230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590812993600).
2200320230022 is an abundant number, since it is smaller than the sum of its proper divisors (2981305757178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200320230022 is a wasteful number, since it uses less digits than its factorization.
2200320230022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4047 (or 4044 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
It can be divided in two parts, 2200320 and 230022, that added together give a palindrome (2430342).
The spelling of 2200320230022 in words is "two trillion, two hundred billion, three hundred twenty million, two hundred thirty thousand, twenty-two".
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