Base | Representation |
---|---|
bin | 1000010110111111… |
… | …1001101100010000 |
3 | 12210101100021220000 |
4 | 2011233321230100 |
5 | 14043421124200 |
6 | 1010355050000 |
7 | 106415030433 |
oct | 20557715420 |
9 | 5711307800 |
10 | 2243926800 |
11 | a51702465 |
12 | 5275a0900 |
13 | 299b7164b |
14 | 17403381a |
15 | d1ee7300 |
hex | 85bf9b10 |
2243926800 has 150 divisors (see below), whose sum is σ = 8053389498. Its totient is φ = 598371840.
The previous prime is 2243926787. The next prime is 2243926831. The reversal of 2243926800 is 86293422.
2243926800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 355850496 + 1888076304 = 18864^2 + 43452^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2229 + ... + 67028.
Almost surely, 22243926800 is an apocalyptic number.
2243926800 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 2243926800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026694749).
2243926800 is an abundant number, since it is smaller than the sum of its proper divisors (5809462698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243926800 is a wasteful number, since it uses less digits than its factorization.
2243926800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 69287 (or 69267 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 2243926800 is about 47370.1044964015. The cubic root of 2243926800 is about 1309.1906505443.
The spelling of 2243926800 in words is "two billion, two hundred forty-three million, nine hundred twenty-six thousand, eight hundred".
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