| Base | Representation |
|---|---|
| bin | 11010010100010… |
| … | …01110111110000 |
| 3 | 120101102001120200 |
| 4 | 31022021313300 |
| 5 | 423004000210 |
| 6 | 33523435200 |
| 7 | 5320322502 |
| oct | 1512116760 |
| 9 | 511361520 |
| 10 | 220765680 |
| 11 | 103686583 |
| 12 | 61b25b00 |
| 13 | 369780a5 |
| 14 | 21469d72 |
| 15 | 145ac0c0 |
| hex | d289df0 |
220765680 has 120 divisors (see below), whose sum is σ = 761534592. Its totient is φ = 57272832.
The previous prime is 220765639. The next prime is 220765687. The reversal of 220765680 is 86567022.
220765680 is a `hidden beast` number, since 2 + 20 + 76 + 568 + 0 = 666.
220765680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (220765687) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22497 + ... + 30783.
Almost surely, 2220765680 is an apocalyptic number.
220765680 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 220765680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380767296).
220765680 is an abundant number, since it is smaller than the sum of its proper divisors (540768912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220765680 is a wasteful number, since it uses less digits than its factorization.
220765680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8343 (or 8334 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 220765680 is about 14858.1856227468. The cubic root of 220765680 is about 604.3806059830.
It can be divided in two parts, 220765 and 680, that added together give a triangular number (221445 = T665).
The spelling of 220765680 in words is "two hundred twenty million, seven hundred sixty-five thousand, six hundred eighty".
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