Base | Representation |
---|---|
bin | 11010100111000… |
… | …11110010010010 |
3 | 120120001022112100 |
4 | 31103203302102 |
5 | 424121343442 |
6 | 34052341230 |
7 | 5350301412 |
oct | 1523436222 |
9 | 516038470 |
10 | 223231122 |
11 | 10500a934 |
12 | 62914816 |
13 | 3732c32a |
14 | 2190c642 |
15 | 148e784c |
hex | d4e3c92 |
223231122 has 12 divisors (see below), whose sum is σ = 483667470. Its totient is φ = 74410368.
The previous prime is 223231121. The next prime is 223231163. The reversal of 223231122 is 221132322.
223231122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 206755641 + 16475481 = 14379^2 + 4059^2 .
It is a super-3 number, since 3×2232311223 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12401729 = 223231122 / (2 + 2 + 3 + 2 + 3 + 1 + 1 + 2 + 2).
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 = 223231095 and 223231104.
It is not an unprimeable number, because it can be changed into a prime (223231121) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6200847 + ... + 6200882.
Almost surely, 2223231122 is an apocalyptic number.
223231122 is an abundant number, since it is smaller than the sum of its proper divisors (260436348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223231122 is a wasteful number, since it uses less digits than its factorization.
223231122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12401737 (or 12401734 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 223231122 is about 14940.9210559456. The cubic root of 223231122 is about 606.6221268405.
Adding to 223231122 its reverse (221132322), we get a palindrome (444363444).
The spelling of 223231122 in words is "two hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty-two".
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