Base | Representation |
---|---|
bin | 11010100110010… |
… | …01011001011000 |
3 | 120112211211021000 |
4 | 31103021121120 |
5 | 424104414112 |
6 | 34050145000 |
7 | 5346341316 |
oct | 1523113130 |
9 | 515754230 |
10 | 223123032 |
11 | 104a46700 |
12 | 62882160 |
13 | 372c2082 |
14 | 218c10b6 |
15 | 148c57dc |
hex | d4c9658 |
223123032 has 96 divisors (see below), whose sum is σ = 681332400. Its totient is φ = 67605120.
The previous prime is 223123003. The next prime is 223123049. The reversal of 223123032 is 230321322.
It is a happy number.
It is a super-3 number, since 3×2231230323 (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 = 223122996 and 223123014.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21868 + ... + 30404.
Almost surely, 2223123032 is an apocalyptic number.
223123032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340666200).
223123032 is an abundant number, since it is smaller than the sum of its proper divisors (458209368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223123032 is a wasteful number, since it uses less digits than its factorization.
223123032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8574 (or 8553 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 223123032 is about 14937.3033710908. The cubic root of 223123032 is about 606.5242008717.
Adding to 223123032 its reverse (230321322), we get a palindrome (453444354).
The spelling of 223123032 in words is "two hundred twenty-three million, one hundred twenty-three thousand, thirty-two".
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