Base | Representation |
---|---|
bin | 100000010101100010001… |
… | …000100110100101100000 |
3 | 21212102202001221102102111 |
4 | 200111202020212211200 |
5 | 242401422443430100 |
6 | 4420501124525104 |
7 | 316354545502366 |
oct | 40254210464540 |
9 | 7772661842374 |
10 | 2222144514400 |
11 | 787451713458 |
12 | 2ba7bb850794 |
13 | 1317166335b5 |
14 | 797a39ad636 |
15 | 3cc0a5c96ba |
hex | 20562226960 |
2222144514400 has 144 divisors (see below), whose sum is σ = 5744949643440. Its totient is φ = 836421632000.
The previous prime is 2222144514397. The next prime is 2222144514431. The reversal of 2222144514400 is 44154412222.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101322636 + ... + 101344564.
It is an arithmetic number, because the mean of its divisors is an integer number (39895483635).
Almost surely, 22222144514400 is an apocalyptic number.
2222144514400 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 2222144514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872474821720).
2222144514400 is an abundant number, since it is smaller than the sum of its proper divisors (3522805129040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222144514400 is a wasteful number, since it uses less digits than its factorization.
2222144514400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29417 (or 29404 counting only the distinct ones).
The product of its (nonzero) digits is 20480, while the sum is 31.
Adding to 2222144514400 its reverse (44154412222), we get a palindrome (2266298926622).
The spelling of 2222144514400 in words is "two trillion, two hundred twenty-two billion, one hundred forty-four million, five hundred fourteen thousand, four hundred".
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