Base | Representation |
---|---|
bin | 110100110011010000111100… |
… | …110100010111110010100100 |
3 | 1010110020010210111222022210121 |
4 | 310303100330310113302210 |
5 | 220414203221400401040 |
6 | 2141520555324331324 |
7 | 66625302411351454 |
oct | 6463207464276244 |
9 | 1113203714868717 |
10 | 232221312122020 |
11 | 67aa1561772071 |
12 | 220660676a3b44 |
13 | 9c764b6749940 |
14 | 414b8001c1d64 |
15 | 1bca92131cc4a |
hex | d3343cd17ca4 |
232221312122020 has 96 divisors (see below), whose sum is σ = 529619954703840. Its totient is φ = 85020997386240.
The previous prime is 232221312122003. The next prime is 232221312122089. The reversal of 232221312122020 is 20221213122232.
232221312122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 16 ways, for example, as 53413762974784 + 178807549147236 = 7308472^2 + 13371894^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6646876 + ... + 22552684.
It is an arithmetic number, because the mean of its divisors is an integer number (5516874528165).
Almost surely, 2232221312122020 is an apocalyptic number.
232221312122020 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 232221312122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264809977351920).
232221312122020 is an abundant number, since it is smaller than the sum of its proper divisors (297398642581820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232221312122020 is a wasteful number, since it uses less digits than its factorization.
232221312122020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15906305 (or 15906303 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 25.
Adding to 232221312122020 its reverse (20221213122232), we get a palindrome (252442525244252).
The spelling of 232221312122020 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, three hundred twelve million, one hundred twenty-two thousand, twenty".
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