Base | Representation |
---|---|
bin | 11010100111101… |
… | …00110001110000 |
3 | 120120011212000001 |
4 | 31103310301300 |
5 | 424131110340 |
6 | 34054035344 |
7 | 5351011336 |
oct | 1523646160 |
9 | 516155001 |
10 | 223300720 |
11 | 105058155 |
12 | 62948b54 |
13 | 37354c06 |
14 | 21929b56 |
15 | 1490d29a |
hex | d4f4c70 |
223300720 has 80 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 86429952.
The previous prime is 223300717. The next prime is 223300739. The reversal of 223300720 is 27003322.
It is a happy number.
223300720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477927 + ... + 478393.
It is an arithmetic number, because the mean of its divisors is an integer number (6702696).
Almost surely, 2223300720 is an apocalyptic number.
223300720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
223300720 is the 7472-nd decagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).
223300720 is an abundant number, since it is smaller than the sum of its proper divisors (312914960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223300720 is a wasteful number, since it uses less digits than its factorization.
223300720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 662 (or 656 counting only the distinct ones).
The product of its (nonzero) digits is 504, while the sum is 19.
The square root of 223300720 is about 14943.2499811788. The cubic root of 223300720 is about 606.6851636003.
The spelling of 223300720 in words is "two hundred twenty-three million, three hundred thousand, seven hundred twenty".
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