Base | Representation |
---|---|
bin | 1010000100010… |
… | …0001010001110 |
3 | 2221110010000000 |
4 | 2201010022032 |
5 | 41302102342 |
6 | 4104545130 |
7 | 1021611600 |
oct | 241041216 |
9 | 87403000 |
10 | 42222222 |
11 | 219191a9 |
12 | 121821a6 |
13 | 8994183 |
14 | 5871170 |
15 | 3a9044c |
hex | 284428e |
42222222 has 96 divisors (see below), whose sum is σ = 111054240. Its totient is φ = 12002256.
The previous prime is 42222221. The next prime is 42222233. The reversal of 42222222 is 22222224.
It is a happy number.
42222222 is a `hidden beast` number, since 422 + 22 + 222 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
42222222 is a modest number, since divided by 22222 gives 422 as remainder.
It is a nialpdrome in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 42222195 and 42222204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42222221) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214228 + ... + 214424.
It is an arithmetic number, because the mean of its divisors is an integer number (1156815).
Almost surely, 242222222 is an apocalyptic number.
42222222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 42222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55527120).
42222222 is an abundant number, since it is smaller than the sum of its proper divisors (68832018).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42222222 is an equidigital number, since it uses as much as digits as its factorization.
42222222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 234 (or 209 counting only the distinct ones).
The product of its digits is 512, while the sum is 18.
The square root of 42222222 is about 6497.8628794397. The cubic root of 42222222 is about 348.2146416632.
Adding to 42222222 its reverse (22222224), we get a palindrome (64444446).
It can be divided in two parts, 4222222 and 2, that added together give a palindrome (4222224).
The spelling of 42222222 in words is "forty-two million, two hundred twenty-two thousand, two hundred twenty-two".
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