Base | Representation |
---|---|
bin | 10100101100101101… |
… | …010001000000000000 |
3 | 2010100220001220102000 |
4 | 110230231101000000 |
5 | 331004033300341 |
6 | 14113204424000 |
7 | 1414516351050 |
oct | 245455210000 |
9 | 63326056360 |
10 | 22224900096 |
11 | 9475416433 |
12 | 43830a8000 |
13 | 2132616b79 |
14 | 110b9a5560 |
15 | 8a12558b6 |
hex | 52cb51000 |
22224900096 has 416 divisors, whose sum is σ = 79262668800. Its totient is φ = 6011781120.
The previous prime is 22224900007. The next prime is 22224900097. The reversal of 22224900096 is 69000942222.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 22224900096.
It is not an unprimeable number, because it can be changed into a prime (22224900097) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 14707981 + ... + 14709491.
Almost surely, 222224900096 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22224900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39631334400).
22224900096 is an abundant number, since it is smaller than the sum of its proper divisors (57037768704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22224900096 is a wasteful number, since it uses less digits than its factorization.
22224900096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1570 (or 1542 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 22224900096 in words is "twenty-two billion, two hundred twenty-four million, nine hundred thousand, ninety-six".
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