Base | Representation |
---|---|
bin | 1000000100000011110 |
3 | 111102110000 |
4 | 1000200132 |
5 | 31423342 |
6 | 5355130 |
7 | 2150220 |
oct | 1004036 |
9 | 442400 |
10 | 264222 |
11 | 170572 |
12 | 108aa6 |
13 | 9335a |
14 | 6c410 |
15 | 5344c |
hex | 4081e |
264222 has 40 divisors (see below), whose sum is σ = 679536. Its totient is φ = 75168.
The previous prime is 264221. The next prime is 264263. The reversal of 264222 is 222462.
It is a happy number.
264222 is a `hidden beast` number, since 2 + 642 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a d-powerful number, because it can be written as 22 + 6 + 24 + 4 + 211 + 218 .
It is a junction number, because it is equal to n+sod(n) for n = 264195 and 264204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264221) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1018 + ... + 1250.
2264222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 264222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339768).
264222 is an abundant number, since it is smaller than the sum of its proper divisors (415314).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264222 is a wasteful number, since it uses less digits than its factorization.
264222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 254 (or 245 counting only the distinct ones).
The product of its digits is 384, while the sum is 18.
The square root of 264222 is about 514.0252912066. The cubic root of 264222 is about 64.1686631938.
Adding to 264222 its reverse (222462), we get a palindrome (486684).
The spelling of 264222 in words is "two hundred sixty-four thousand, two hundred twenty-two".
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