Base | Representation |
---|---|
bin | 1100111000000111101… |
… | …0110001100011111000 |
3 | 210011000102002210210000 |
4 | 3032001322301203320 |
5 | 12111031042002222 |
6 | 245343424353000 |
7 | 21661053322326 |
oct | 3160172614370 |
9 | 704012083700 |
10 | 221223000312 |
11 | 85902686486 |
12 | 36a5b175760 |
13 | 17b271b2222 |
14 | a9c89a2d16 |
15 | 5b4b7709ac |
hex | 3381eb18f8 |
221223000312 has 80 divisors (see below), whose sum is σ = 619862720400. Its totient is φ = 73713214080.
The previous prime is 221223000287. The next prime is 221223000319. The reversal of 221223000312 is 213000322122.
221223000312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221223000319) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 1693764 + ... + 1819692.
It is an arithmetic number, because the mean of its divisors is an integer number (7748284005).
Almost surely, 2221223000312 is an apocalyptic number.
It is an amenable number.
221223000312 is an abundant number, since it is smaller than the sum of its proper divisors (398639720088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221223000312 is a wasteful number, since it uses less digits than its factorization.
221223000312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128658 (or 128645 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 221223000312 its reverse (213000322122), we get a palindrome (434223322434).
The spelling of 221223000312 in words is "two hundred twenty-one billion, two hundred twenty-three million, three hundred twelve", and thus it is an aban number.
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