| Base | Representation |
|---|---|
| bin | 1100111000011100111… |
| … | …1000101110000110100 |
| 3 | 210011020121222020020100 |
| 4 | 3032013033011300310 |
| 5 | 12111221411241040 |
| 6 | 245400332434100 |
| 7 | 21663215522634 |
| oct | 3160717056064 |
| 9 | 704217866210 |
| 10 | 221312212020 |
| 11 | 85948a79569 |
| 12 | 36a85018930 |
| 13 | 17b3c819413 |
| 14 | a9d67866c4 |
| 15 | 5b544e3b30 |
| hex | 33873c5c34 |
221312212020 has 144 divisors (see below), whose sum is σ = 678943399680. Its totient is φ = 58347552000.
The previous prime is 221312211977. The next prime is 221312212057. The reversal of 221312212020 is 20212213122.
221312212020 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 junction number, because it is equal to n+sod(n) for n = 221312211984 and 221312212002.
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 47 ways as a sum of consecutive naturals, for example, 13062955 + ... + 13079885.
It is an arithmetic number, because the mean of its divisors is an integer number (4714884720).
Almost surely, 2221312212020 is an apocalyptic number.
221312212020 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 221312212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339471699840).
221312212020 is an abundant number, since it is smaller than the sum of its proper divisors (457631187660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221312212020 is a wasteful number, since it uses less digits than its factorization.
221312212020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17766 (or 17761 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 221312212020 its reverse (20212213122), we get a palindrome (241524425142).
The spelling of 221312212020 in words is "two hundred twenty-one billion, three hundred twelve million, two hundred twelve thousand, twenty".
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