Base | Representation |
---|---|
bin | 11010011110101… |
… | …01010011010000 |
3 | 120110222000202210 |
4 | 31033111103100 |
5 | 423330420331 |
6 | 34012512120 |
7 | 5335005360 |
oct | 1517252320 |
9 | 513860683 |
10 | 222123216 |
11 | 104423507 |
12 | 6247b640 |
13 | 37031c73 |
14 | 217009a0 |
15 | 14779446 |
hex | d3d54d0 |
222123216 has 80 divisors (see below), whose sum is σ = 665100288. Its totient is φ = 62563200.
The previous prime is 222123191. The next prime is 222123217. The reversal of 222123216 is 612321222.
222123216 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 (21).
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 = 222123192 and 222123201.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (222123217) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19201 + ... + 28511.
Almost surely, 2222123216 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 222123216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332550144).
222123216 is an abundant number, since it is smaller than the sum of its proper divisors (442977072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222123216 is a wasteful number, since it uses less digits than its factorization.
222123216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9400 (or 9394 counting only the distinct ones).
The product of its digits is 576, while the sum is 21.
The square root of 222123216 is about 14903.7987103960. The cubic root of 222123216 is about 605.6168977926.
Adding to 222123216 its reverse (612321222), we get a palindrome (834444438).
The spelling of 222123216 in words is "two hundred twenty-two million, one hundred twenty-three thousand, two hundred sixteen".
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