Base | Representation |
---|---|
bin | 100000010011101001011… |
… | …110100010100100111100 |
3 | 21212020111222212201022100 |
4 | 200103221132202210330 |
5 | 242333301234101022 |
6 | 4415524213145100 |
7 | 316253435343330 |
oct | 40235136424474 |
9 | 7766458781270 |
10 | 2220120222012 |
11 | 786602a94640 |
12 | 2ba33592b190 |
13 | 131483132154 |
14 | 79650bcd7c0 |
15 | 3cb3ca191ac |
hex | 204e97a293c |
2220120222012 has 144 divisors (see below), whose sum is σ = 7004692041984. Its totient is φ = 575999424000.
The previous prime is 2220120222011. The next prime is 2220120222031. The reversal of 2220120222012 is 2102220210222.
It is a super-2 number, since 2×22201202220122 (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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (2220120222011) 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 47 ways as a sum of consecutive naturals, for example, 1987587 + ... + 2896677.
It is an arithmetic number, because the mean of its divisors is an integer number (48643694736).
Almost surely, 22220120222012 is an apocalyptic number.
2220120222012 is a gapful number since it is divisible by the number (22) 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 2220120222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502346020992).
2220120222012 is an abundant number, since it is smaller than the sum of its proper divisors (4784571819972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220120222012 is a wasteful number, since it uses less digits than its factorization.
2220120222012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 910000 (or 909995 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2220120222012 its reverse (2102220210222), we get a palindrome (4322340432234).
The spelling of 2220120222012 in words is "two trillion, two hundred twenty billion, one hundred twenty million, two hundred twenty-two thousand, twelve".
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