| Base | Representation |
|---|---|
| bin | 11010010101100… |
| … | …11011000000000 |
| 3 | 120101201200202222 |
| 4 | 31022303120000 |
| 5 | 423024420210 |
| 6 | 33531230212 |
| 7 | 5321631230 |
| oct | 1512633000 |
| 9 | 511650688 |
| 10 | 220935680 |
| 11 | 103792279 |
| 12 | 61ba8368 |
| 13 | 36a07594 |
| 14 | 214b1cc0 |
| 15 | 145e2655 |
| hex | d2b3600 |
220935680 has 80 divisors (see below), whose sum is σ = 605452320. Its totient is φ = 75743232.
The previous prime is 220935643. The next prime is 220935683. The reversal of 220935680 is 86539022.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 220935680.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (220935683) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11756 + ... + 24084.
It is an arithmetic number, because the mean of its divisors is an integer number (7568154).
Almost surely, 2220935680 is an apocalyptic number.
220935680 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 220935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302726160).
220935680 is an abundant number, since it is smaller than the sum of its proper divisors (384516640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220935680 is an equidigital number, since it uses as much as digits as its factorization.
220935680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12359 (or 12343 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 35.
The square root of 220935680 is about 14863.9052741869. The cubic root of 220935680 is about 604.5357000501.
The spelling of 220935680 in words is "two hundred twenty million, nine hundred thirty-five thousand, six hundred eighty".
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