Base | Representation |
---|---|
bin | 100000001011010111000… |
… | …110100100000100101000 |
3 | 21211101112212022211011222 |
4 | 200023113012210010220 |
5 | 242212040313342300 |
6 | 4411453225441212 |
7 | 315520066661555 |
oct | 40132706440450 |
9 | 7741485284158 |
10 | 2211222012200 |
11 | 7828571a7933 |
12 | 2b8671940208 |
13 | 1306957a1446 |
14 | 79049113a2c |
15 | 3c7bb747785 |
hex | 202d71a4128 |
2211222012200 has 96 divisors (see below), whose sum is σ = 5295583795320. Its totient is φ = 858147840000.
The previous prime is 2211222012193. The next prime is 2211222012203. The reversal of 2211222012200 is 22102221122.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 379113581284 + 1832108430916 = 615722^2 + 1353554^2 .
It is not an unprimeable number, because it can be changed into a prime (2211222012203) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739280 + ... + 2229120.
Almost surely, 22211222012200 is an apocalyptic number.
2211222012200 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 2211222012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647791897660).
2211222012200 is an abundant number, since it is smaller than the sum of its proper divisors (3084361783120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2211222012200 is a wasteful number, since it uses less digits than its factorization.
2211222012200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1490079 (or 1490070 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
Adding to 2211222012200 its reverse (22102221122), we get a palindrome (2233324233322).
It can be divided in two parts, 221122 and 2012200, that added together give a palindrome (2233322).
The spelling of 2211222012200 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, twelve thousand, two hundred".
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