Base | Representation |
---|---|
bin | 11010011111100… |
… | …01110111110000 |
3 | 120111011222022000 |
4 | 31033301313300 |
5 | 423343141430 |
6 | 34015214000 |
7 | 5336003505 |
oct | 1517616760 |
9 | 514158260 |
10 | 222240240 |
11 | 1044a3422 |
12 | 62517300 |
13 | 37073301 |
14 | 217314ac |
15 | 1479de60 |
hex | d3f1df0 |
222240240 has 160 divisors (see below), whose sum is σ = 790425600. Its totient is φ = 57335040.
The previous prime is 222240223. The next prime is 222240247. The reversal of 222240240 is 42042222.
222240240 is a `hidden beast` number, since 2 + 222 + 402 + 40 = 666.
222240240 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 (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222240247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65301 + ... + 68619.
It is an arithmetic number, because the mean of its divisors is an integer number (4940160).
Almost surely, 2222240240 is an apocalyptic number.
222240240 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 222240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395212800).
222240240 is an abundant number, since it is smaller than the sum of its proper divisors (568185360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222240240 is a wasteful number, since it uses less digits than its factorization.
222240240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3372 (or 3360 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 222240240 is about 14907.7241723880. The cubic root of 222240240 is about 605.7232340725.
Adding to 222240240 its reverse (42042222), we get a palindrome (264282462).
The spelling of 222240240 in words is "two hundred twenty-two million, two hundred forty thousand, two hundred forty".
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