Base | Representation |
---|---|
bin | 11010100111101… |
… | …01000111010100 |
3 | 120120011220220011 |
4 | 31103311013110 |
5 | 424131131400 |
6 | 34054050004 |
7 | 5351015350 |
oct | 1523650724 |
9 | 516156804 |
10 | 223302100 |
11 | 10505919a |
12 | 62949904 |
13 | 37355728 |
14 | 2192a460 |
15 | 1490d8ba |
hex | d4f51d4 |
223302100 has 72 divisors (see below), whose sum is σ = 561714048. Its totient is φ = 75465600.
The previous prime is 223302077. The next prime is 223302133. The reversal of 223302100 is 1203322.
It is a happy number.
223302100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47454 + ... + 51946.
It is an arithmetic number, because the mean of its divisors is an integer number (7801584).
Almost surely, 2223302100 is an apocalyptic number.
223302100 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 223302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280857024).
223302100 is an abundant number, since it is smaller than the sum of its proper divisors (338411948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223302100 is a wasteful number, since it uses less digits than its factorization.
223302100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4585 (or 4578 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 223302100 is about 14943.2961558018. The cubic root of 223302100 is about 606.6864133706.
Adding to 223302100 its reverse (1203322), we get a palindrome (224505422).
The spelling of 223302100 in words is "two hundred twenty-three million, three hundred two thousand, one hundred".
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