| Base | Representation |
|---|---|
| bin | 1100110101101101110… |
| … | …1001100111100000000 |
| 3 | 210002100102212212021000 |
| 4 | 3031123131030330000 |
| 5 | 12103220343321140 |
| 6 | 245155413532000 |
| 7 | 21636056430024 |
| oct | 3153335147400 |
| 9 | 702312785230 |
| 10 | 220577713920 |
| 11 | 85601407243 |
| 12 | 368bb044000 |
| 13 | 17a535bb865 |
| 14 | a966dcc384 |
| 15 | 5b0eca9a30 |
| hex | 335b74cf00 |
220577713920 has 288 divisors, whose sum is σ = 791550446400. Its totient is φ = 58159005696.
The previous prime is 220577713913. The next prime is 220577713949. The reversal of 220577713920 is 29317775022.
220577713920 is a `hidden beast` number, since 2 + 2 + 0 + 577 + 71 + 3 + 9 + 2 + 0 = 666.
220577713920 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 (288).
It is a Harshad number since it is a multiple of its sum of digits (45).
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 31 ways as a sum of consecutive naturals, for example, 3039984 + ... + 3111696.
It is an arithmetic number, because the mean of its divisors is an integer number (2748439050).
Almost surely, 2220577713920 is an apocalyptic number.
220577713920 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 220577713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395775223200).
220577713920 is an abundant number, since it is smaller than the sum of its proper divisors (570972732480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220577713920 is an equidigital number, since it uses as much as digits as its factorization.
220577713920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71832 (or 71812 counting only the distinct ones).
The product of its (nonzero) digits is 370440, while the sum is 45.
The spelling of 220577713920 in words is "two hundred twenty billion, five hundred seventy-seven million, seven hundred thirteen thousand, nine hundred twenty".
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