Base | Representation |
---|---|
bin | 11010100101100… |
… | …00001111100000 |
3 | 120112122120221000 |
4 | 31102300033200 |
5 | 424043120000 |
6 | 34044032000 |
7 | 5345432040 |
oct | 1522601740 |
9 | 515576830 |
10 | 223020000 |
11 | 104986255 |
12 | 62832600 |
13 | 372871c8 |
14 | 21895720 |
15 | 148a5000 |
hex | d4b03e0 |
223020000 has 480 divisors, whose sum is σ = 944697600. Its totient is φ = 50112000.
The previous prime is 223019999. The next prime is 223020011. The reversal of 223020000 is 20322.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3779971 + ... + 3780029.
It is an arithmetic number, because the mean of its divisors is an integer number (1968120).
Almost surely, 2223020000 is an apocalyptic number.
223020000 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 223020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472348800).
223020000 is an abundant number, since it is smaller than the sum of its proper divisors (721677600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223020000 is an equidigital number, since it uses as much as digits as its factorization.
223020000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 105 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 9.
The square root of 223020000 is about 14933.8541575844. The cubic root of 223020000 is about 606.4308278385.
Adding to 223020000 its reverse (20322), we get a palindrome (223040322).
The spelling of 223020000 in words is "two hundred twenty-three million, twenty thousand".
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