Base | Representation |
---|---|
bin | 11010000001111… |
… | …01011100011000 |
3 | 120012212121102000 |
4 | 31000331130120 |
5 | 421344333410 |
6 | 33400041000 |
7 | 5260663620 |
oct | 1500753430 |
9 | 505777360 |
10 | 218355480 |
11 | 10228a782 |
12 | 61163160 |
13 | 36313035 |
14 | 20ddd880 |
15 | 14282dc0 |
hex | d03d718 |
218355480 has 256 divisors, whose sum is σ = 881280000. Its totient is φ = 46946304.
The previous prime is 218355469. The next prime is 218355481. The reversal of 218355480 is 84553812.
It is a happy number.
218355480 is a `hidden beast` number, since 21 + 8 + 3 + 554 + 80 = 666.
218355480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 (218355481) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 127671 + ... + 129369.
It is an arithmetic number, because the mean of its divisors is an integer number (3442500).
Almost surely, 2218355480 is an apocalyptic number.
218355480 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 218355480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).
218355480 is an abundant number, since it is smaller than the sum of its proper divisors (662924520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
218355480 is a wasteful number, since it uses less digits than its factorization.
218355480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1743 (or 1733 counting only the distinct ones).
The product of its (nonzero) digits is 38400, while the sum is 36.
The square root of 218355480 is about 14776.8562285758. The cubic root of 218355480 is about 602.1731197487.
The spelling of 218355480 in words is "two hundred eighteen million, three hundred fifty-five thousand, four hundred eighty".
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