Base | Representation |
---|---|
bin | 1100110011101000000… |
… | …1111111001011100000 |
3 | 210000220100200011110200 |
4 | 3030322001333023200 |
5 | 12101043313302202 |
6 | 245024022225200 |
7 | 21616140030015 |
oct | 3147201771340 |
9 | 700810604420 |
10 | 220016931552 |
11 | 85343905140 |
12 | 36783285200 |
13 | 17994374682 |
14 | a91273370c |
15 | 5aca936e1c |
hex | 333a07f2e0 |
220016931552 has 288 divisors, whose sum is σ = 690452066304. Its totient is φ = 65904921600.
The previous prime is 220016931517. The next prime is 220016931569. The reversal of 220016931552 is 255139610022.
It is a happy number.
220016931552 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 16 + 93 + 1 + 552 = 666.
220016931552 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 (36).
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 47 ways as a sum of consecutive naturals, for example, 104222977 + ... + 104225087.
It is an arithmetic number, because the mean of its divisors is an integer number (2397403008).
Almost surely, 2220016931552 is an apocalyptic number.
220016931552 is a gapful number since it is divisible by the number (22) 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 220016931552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345226033152).
220016931552 is an abundant number, since it is smaller than the sum of its proper divisors (470435134752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220016931552 is a wasteful number, since it uses less digits than its factorization.
220016931552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2502 (or 2491 counting only the distinct ones).
The product of its (nonzero) digits is 32400, while the sum is 36.
The spelling of 220016931552 in words is "two hundred twenty billion, sixteen million, nine hundred thirty-one thousand, five hundred fifty-two".
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