Base | Representation |
---|---|
bin | 110010101110110110110001… |
… | …010000110000110101000000 |
3 | 1002021000021110211201021111101 |
4 | 302232312301100300311000 |
5 | 213221113311341141230 |
6 | 2110312534252424144 |
7 | 64666022600543251 |
oct | 6256666120606500 |
9 | 1067007424637441 |
10 | 223122230021440 |
11 | 65103674076302 |
12 | 210366bb478054 |
13 | 976644a2a0189 |
14 | 3d15260334b28 |
15 | 1abddc42bbaca |
hex | caedb1430d40 |
223122230021440 has 112 divisors (see below), whose sum is σ = 545877802114704. Its totient is φ = 86803616563200.
The previous prime is 223122230021437. The next prime is 223122230021441. The reversal of 223122230021440 is 44120032221322.
It can be written as a sum of positive squares in 8 ways, for example, as 73528978609216 + 149593251412224 = 8574904^2 + 12230832^2 .
It is a super-3 number, since 3×2231222300214403 (a number of 44 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223122230021399 and 223122230021408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223122230021441) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27437680 + ... + 34627600.
Almost surely, 2223122230021440 is an apocalyptic number.
223122230021440 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 223122230021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272938901057352).
223122230021440 is an abundant number, since it is smaller than the sum of its proper divisors (322755572093264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223122230021440 is a wasteful number, since it uses less digits than its factorization.
223122230021440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7192596 (or 7192586 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
Adding to 223122230021440 its reverse (44120032221322), we get a palindrome (267242262242762).
The spelling of 223122230021440 in words is "two hundred twenty-three trillion, one hundred twenty-two billion, two hundred thirty million, twenty-one thousand, four hundred forty".
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