Base | Representation |
---|---|
bin | 1100111111100001101… |
… | …1100011000001011000 |
3 | 210100010222110001022022 |
4 | 3033320123203001120 |
5 | 12124114043144000 |
6 | 250313012514012 |
7 | 22061245525220 |
oct | 3177033430130 |
9 | 710128401268 |
10 | 223211303000 |
11 | 86732a63744 |
12 | 3731501b908 |
13 | 180830c22aa |
14 | ab36a95080 |
15 | 5c160c2585 |
hex | 33f86e3058 |
223211303000 has 128 divisors (see below), whose sum is σ = 597990556800. Its totient is φ = 76393728000.
The previous prime is 223211302997. The next prime is 223211303071. The reversal of 223211303000 is 303112322.
223211303000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2232113030003 (a number of 35 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 223211303000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3954980 + ... + 4011020.
It is an arithmetic number, because the mean of its divisors is an integer number (4671801225).
Almost surely, 2223211303000 is an apocalyptic number.
223211303000 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 223211303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298995278400).
223211303000 is an abundant number, since it is smaller than the sum of its proper divisors (374779253800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223211303000 is a wasteful number, since it uses less digits than its factorization.
223211303000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56638 (or 56624 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
Adding to 223211303000 its reverse (303112322), we get a palindrome (223514415322).
The spelling of 223211303000 in words is "two hundred twenty-three billion, two hundred eleven million, three hundred three thousand".
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