Base | Representation |
---|---|
bin | 11010101000101… |
… | …00000000000000 |
3 | 120120102100102122 |
4 | 31110110000000 |
5 | 424144203413 |
6 | 34100503412 |
7 | 5352053234 |
oct | 1524240000 |
9 | 516370378 |
10 | 223428608 |
11 | 105135247 |
12 | 629aab68 |
13 | 3739b1a0 |
14 | 219605c4 |
15 | 14936108 |
hex | d514000 |
223428608 has 60 divisors (see below), whose sum is σ = 481674900. Its totient is φ = 103022592.
The previous prime is 223428599. The next prime is 223428617. The reversal of 223428608 is 806824322.
223428608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (223428599) and next prime (223428617).
It can be written as a sum of positive squares in 2 ways, for example, as 121176064 + 102252544 = 11008^2 + 10112^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212468 + ... + 213516.
It is an arithmetic number, because the mean of its divisors is an integer number (8027915).
Almost surely, 2223428608 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 223428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240837450).
223428608 is an abundant number, since it is smaller than the sum of its proper divisors (258246292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223428608 is an equidigital number, since it uses as much as digits as its factorization.
223428608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1090 (or 1064 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 35.
The square root of 223428608 is about 14947.5284913594. The cubic root of 223428608 is about 606.8009610251.
The spelling of 223428608 in words is "two hundred twenty-three million, four hundred twenty-eight thousand, six hundred eight".
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