Base | Representation |
---|---|
bin | 11011001001000… |
… | …01111100000000 |
3 | 120212102100020121 |
4 | 31210201330000 |
5 | 431241230000 |
6 | 34331550024 |
7 | 5433151042 |
oct | 1544417400 |
9 | 525370217 |
10 | 227680000 |
11 | 107579399 |
12 | 642bb314 |
13 | 382292c2 |
14 | 22349a92 |
15 | 14ec5b1a |
hex | d921f00 |
227680000 has 90 divisors (see below), whose sum is σ = 568305584. Its totient is φ = 91008000.
The previous prime is 227679989. The next prime is 227680001. The reversal of 227680000 is 86722.
227680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (227680001) 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 9 ways as a sum of consecutive naturals, for example, 159289 + ... + 160711.
Almost surely, 2227680000 is an apocalyptic number.
227680000 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 227680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284152792).
227680000 is an abundant number, since it is smaller than the sum of its proper divisors (340625584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
227680000 is an frugal number, since it uses more digits than its factorization.
227680000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1459 (or 1430 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 25.
The square root of 227680000 is about 15089.0688910880. The cubic root of 227680000 is about 610.6255340762.
The spelling of 227680000 in words is "two hundred twenty-seven million, six hundred eighty thousand".
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