Base | Representation |
---|---|
bin | 11010100110111… |
… | …11011010011100 |
3 | 120120000101222000 |
4 | 31103133122130 |
5 | 424120310322 |
6 | 34052122300 |
7 | 5350165245 |
oct | 1523373234 |
9 | 516011860 |
10 | 223213212 |
11 | 104aa8432 |
12 | 62906390 |
13 | 37324131 |
14 | 21905ccc |
15 | 148e23ac |
hex | d4df69c |
223213212 has 24 divisors (see below), whose sum is σ = 578701200. Its totient is φ = 74404368.
The previous prime is 223213201. The next prime is 223213217. The reversal of 223213212 is 212312322.
223213212 is a `hidden beast` number, since 22 + 321 + 321 + 2 = 666.
It is a super-3 number, since 3×2232132123 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (223213217) 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 7 ways as a sum of consecutive naturals, for example, 1033287 + ... + 1033502.
It is an arithmetic number, because the mean of its divisors is an integer number (24112550).
Almost surely, 2223213212 is an apocalyptic number.
It is an amenable number.
223213212 is an abundant number, since it is smaller than the sum of its proper divisors (355487988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223213212 is a wasteful number, since it uses less digits than its factorization.
223213212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2066802 (or 2066794 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 223213212 is about 14940.3216832838. The cubic root of 223213212 is about 606.6059031575.
Adding to 223213212 its reverse (212312322), we get a palindrome (435525534).
The spelling of 223213212 in words is "two hundred twenty-three million, two hundred thirteen thousand, two hundred twelve".
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