Base | Representation |
---|---|
bin | 11010101100011… |
… | …10011001010100 |
3 | 120121100211010111 |
4 | 31112032121110 |
5 | 424311224230 |
6 | 34115332404 |
7 | 5356241653 |
oct | 1526163124 |
9 | 517324114 |
10 | 223929940 |
11 | 105447973 |
12 | 62bb1104 |
13 | 37515430 |
14 | 21a5119a |
15 | 149d492a |
hex | d58e654 |
223929940 has 48 divisors (see below), whose sum is σ = 508772880. Its totient is φ = 82298880.
The previous prime is 223929919. The next prime is 223929943. The reversal of 223929940 is 49929322.
It is a happy number.
223929940 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 8 ways, for example, as 248004 + 223681936 = 498^2 + 14956^2 .
It is a junction number, because it is equal to n+sod(n) for n = 223929893 and 223929902.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223929943) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57660 + ... + 61420.
It is an arithmetic number, because the mean of its divisors is an integer number (10599435).
Almost surely, 2223929940 is an apocalyptic number.
223929940 is a gapful number since it is divisible by the number (20) 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 223929940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254386440).
223929940 is an abundant number, since it is smaller than the sum of its proper divisors (284842940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223929940 is a wasteful number, since it uses less digits than its factorization.
223929940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4012 (or 4010 counting only the distinct ones).
The product of its (nonzero) digits is 69984, while the sum is 40.
The square root of 223929940 is about 14964.2888237296. The cubic root of 223929940 is about 607.2544712778.
The spelling of 223929940 in words is "two hundred twenty-three million, nine hundred twenty-nine thousand, nine hundred forty".
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