Base | Representation |
---|---|
bin | 11010100110111… |
… | …11010111101000 |
3 | 120120000101201100 |
4 | 31103133113220 |
5 | 424120304112 |
6 | 34052121400 |
7 | 5350164600 |
oct | 1523372750 |
9 | 516011640 |
10 | 223213032 |
11 | 104aa8289 |
12 | 62906260 |
13 | 37324023 |
14 | 21905c00 |
15 | 148e22dc |
hex | d4df5e8 |
223213032 has 144 divisors (see below), whose sum is σ = 709581600. Its totient is φ = 63201600.
The previous prime is 223212889. The next prime is 223213037. The reversal of 223213032 is 230312322.
It is a happy number.
It is a super-3 number, since 3×2232130323 (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).
It is a junction number, because it is equal to n+sod(n) for n = 223212996 and 223213014.
It is not an unprimeable number, because it can be changed into a prime (223213037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532519 + ... + 532937.
It is an arithmetic number, because the mean of its divisors is an integer number (4927650).
Almost surely, 2223213032 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 223213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354790800).
223213032 is an abundant number, since it is smaller than the sum of its proper divisors (486368568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223213032 is a wasteful number, since it uses less digits than its factorization.
223213032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 596 (or 582 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 223213032 is about 14940.3156593159. The cubic root of 223213032 is about 606.6057401010.
Adding to 223213032 its reverse (230312322), we get a palindrome (453525354).
The spelling of 223213032 in words is "two hundred twenty-three million, two hundred thirteen thousand, thirty-two".
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