Base | Representation |
---|---|
bin | 1000010001100111… |
… | …0000011010010000 |
3 | 12201210211222122211 |
4 | 2010121300122100 |
5 | 14022131010100 |
6 | 1004231041504 |
7 | 106022054512 |
oct | 20431603220 |
9 | 5653758584 |
10 | 2221344400 |
11 | a3a988a20 |
12 | 51bb10294 |
13 | 295295992 |
14 | 171035bb2 |
15 | d00361ba |
hex | 84670690 |
2221344400 has 60 divisors (see below), whose sum is σ = 5821953264. Its totient is φ = 807760000.
The previous prime is 2221344383. The next prime is 2221344479. The reversal of 2221344400 is 44431222.
It is a happy number.
It is a super-2 number, since 2×22213444002 = 9868741886822720000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248026 + ... + 256825.
Almost surely, 22221344400 is an apocalyptic number.
2221344400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2221344400 is an abundant number, since it is smaller than the sum of its proper divisors (3600608864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221344400 is a wasteful number, since it uses less digits than its factorization.
2221344400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 504880 (or 504869 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
The square root of 2221344400 is about 47131.1404487521. The cubic root of 2221344400 is about 1304.7840298689.
Adding to 2221344400 its reverse (44431222), we get a palindrome (2265775622).
The spelling of 2221344400 in words is "two billion, two hundred twenty-one million, three hundred forty-four thousand, four hundred".
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