Base | Representation |
---|---|
bin | 11010100111001… |
… | …00000001110000 |
3 | 120120001100220000 |
4 | 31103210001300 |
5 | 424121411422 |
6 | 34052350000 |
7 | 5350304325 |
oct | 1523440160 |
9 | 516040800 |
10 | 223232112 |
11 | 105010654 |
12 | 62915300 |
13 | 3732c90c |
14 | 2190cb4c |
15 | 148e7cac |
hex | d4e4070 |
223232112 has 100 divisors (see below), whose sum is σ = 674279760. Its totient is φ = 71165952.
The previous prime is 223232101. The next prime is 223232183. The reversal of 223232112 is 211232322.
It is a super-3 number, since 3×2232321123 (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 nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26064 + ... + 33552.
Almost surely, 2223232112 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 223232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337139880).
223232112 is an abundant number, since it is smaller than the sum of its proper divisors (451047648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223232112 is a wasteful number, since it uses less digits than its factorization.
223232112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7532 (or 7517 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 223232112 is about 14940.9541863965. The cubic root of 223232112 is about 606.6230236017.
Adding to 223232112 its reverse (211232322), we get a palindrome (434464434).
The spelling of 223232112 in words is "two hundred twenty-three million, two hundred thirty-two thousand, one hundred twelve".
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