Base | Representation |
---|---|
bin | 11010011000011… |
… | …11100011000110 |
3 | 120102102212200000 |
4 | 31030033203012 |
5 | 423124010342 |
6 | 33543302130 |
7 | 5325063024 |
oct | 1514174306 |
9 | 512385600 |
10 | 221313222 |
11 | 103a1a999 |
12 | 6214a946 |
13 | 36b0a390 |
14 | 2156d714 |
15 | 1466944c |
hex | d30f8c6 |
221313222 has 96 divisors (see below), whose sum is σ = 559173888. Its totient is φ = 65092896.
The previous prime is 221313193. The next prime is 221313227. The reversal of 221313222 is 222313122.
221313222 is digitally balanced in base 2, 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 nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 221313195 and 221313204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221313227) 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, 144553 + ... + 146075.
It is an arithmetic number, because the mean of its divisors is an integer number (5824728).
Almost surely, 2221313222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221313222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279586944).
221313222 is an abundant number, since it is smaller than the sum of its proper divisors (337860666).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221313222 is a wasteful number, since it uses less digits than its factorization.
221313222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 221313222 is about 14876.5998131293. The cubic root of 221313222 is about 604.8798541103.
Adding to 221313222 its reverse (222313122), we get a palindrome (443626344).
The spelling of 221313222 in words is "two hundred twenty-one million, three hundred thirteen thousand, two hundred twenty-two".
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