| Base | Representation |
|---|---|
| bin | 11010010101011… |
| … | …00010011101000 |
| 3 | 120101200020001200 |
| 4 | 31022230103220 |
| 5 | 423023003403 |
| 6 | 33530444200 |
| 7 | 5321450640 |
| oct | 1512542350 |
| 9 | 511606050 |
| 10 | 220906728 |
| 11 | 103772549 |
| 12 | 61b93660 |
| 13 | 369c7353 |
| 14 | 214a5520 |
| 15 | 145d8ca3 |
| hex | d2ac4e8 |
220906728 has 96 divisors (see below), whose sum is σ = 688209600. Its totient is φ = 62705664.
The previous prime is 220906709. The next prime is 220906747. The reversal of 220906728 is 827609022.
It is an interprime number because it is at equal distance from previous prime (220906709) and next prime (220906747).
It is a super-3 number, since 3×2209067283 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 220906692 and 220906701.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80808 + ... + 83496.
It is an arithmetic number, because the mean of its divisors is an integer number (7168850).
Almost surely, 2220906728 is an apocalyptic number.
220906728 is a gapful number since it is divisible by the number (28) 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 220906728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344104800).
220906728 is an abundant number, since it is smaller than the sum of its proper divisors (467302872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220906728 is a wasteful number, since it uses less digits than its factorization.
220906728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2871 (or 2864 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 220906728 is about 14862.9313394095. The cubic root of 220906728 is about 604.5092922404.
The spelling of 220906728 in words is "two hundred twenty million, nine hundred six thousand, seven hundred twenty-eight".
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