Base | Representation |
---|---|
bin | 11010101010110… |
… | …00001110000000 |
3 | 120120221112201200 |
4 | 31111120032000 |
5 | 424232124112 |
6 | 34110501200 |
7 | 5354326002 |
oct | 1525301600 |
9 | 516845650 |
10 | 223708032 |
11 | 105306179 |
12 | 62b04800 |
13 | 37468422 |
14 | 219d4372 |
15 | 1498dcdc |
hex | d558380 |
223708032 has 96 divisors (see below), whose sum is σ = 681670080. Its totient is φ = 70176768.
The previous prime is 223708019. The next prime is 223708057. The reversal of 223708032 is 230807322.
It is a tau number, because it is divible by the number of its divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 223707987 and 223708005.
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 11 ways as a sum of consecutive naturals, for example, 13873 + ... + 25295.
It is an arithmetic number, because the mean of its divisors is an integer number (7100730).
Almost surely, 2223708032 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 223708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340835040).
223708032 is an abundant number, since it is smaller than the sum of its proper divisors (457962048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223708032 is a wasteful number, since it uses less digits than its factorization.
223708032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11460 (or 11445 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 223708032 is about 14956.8724003382. The cubic root of 223708032 is about 607.0538145272.
The spelling of 223708032 in words is "two hundred twenty-three million, seven hundred eight thousand, thirty-two".
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