| Base | Representation |
|---|---|
| bin | 1100111000000111011… |
| … | …1011010101001010100 |
| 3 | 210011000100110002020121 |
| 4 | 3032001313122221110 |
| 5 | 12111030330320040 |
| 6 | 245343353441324 |
| 7 | 21661042665016 |
| oct | 3160167325124 |
| 9 | 704010402217 |
| 10 | 221222120020 |
| 11 | 85902135070 |
| 12 | 36a5aa10244 |
| 13 | 17b26c64645 |
| 14 | a9c88141b6 |
| 15 | 5b4b649c4a |
| hex | 3381ddaa54 |
221222120020 has 192 divisors, whose sum is σ = 530451597312. Its totient is φ = 76769280000.
The previous prime is 221222120017. The next prime is 221222120027. The reversal of 221222120020 is 20021222122.
221222120020 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-2 number, since 2×2212221200202 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 221222119976 and 221222120003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221222120027) 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 63 ways as a sum of consecutive naturals, for example, 232131864 + ... + 232132816.
It is an arithmetic number, because the mean of its divisors is an integer number (2762768736).
Almost surely, 2221222120020 is an apocalyptic number.
221222120020 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 221222120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265225798656).
221222120020 is an abundant number, since it is smaller than the sum of its proper divisors (309229477292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221222120020 is a wasteful number, since it uses less digits than its factorization.
221222120020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1442 (or 1440 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Adding to 221222120020 its reverse (20021222122), we get a palindrome (241243342142).
The spelling of 221222120020 in words is "two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, twenty".
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