Base | Representation |
---|---|
bin | 11010101010100… |
… | …00011100110000 |
3 | 120120212221002000 |
4 | 31111100130300 |
5 | 424230114313 |
6 | 34110054000 |
7 | 5354134140 |
oct | 1525203460 |
9 | 516787060 |
10 | 223676208 |
11 | 105294278 |
12 | 62aaa300 |
13 | 37456ab2 |
14 | 219c6920 |
15 | 14984673 |
hex | d550730 |
223676208 has 320 divisors, whose sum is σ = 821376000. Its totient is φ = 56733696.
The previous prime is 223676147. The next prime is 223676221. The reversal of 223676208 is 802676322.
223676208 is a `hidden beast` number, since 2 + 23 + 6 + 7 + 620 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 976638 + ... + 976866.
It is an arithmetic number, because the mean of its divisors is an integer number (2566800).
Almost surely, 2223676208 is an apocalyptic number.
223676208 is a gapful number since it is divisible by the number (28) 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 223676208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410688000).
223676208 is an abundant number, since it is smaller than the sum of its proper divisors (597699792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223676208 is a wasteful number, since it uses less digits than its factorization.
223676208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 289 (or 277 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The square root of 223676208 is about 14955.8085037219. The cubic root of 223676208 is about 607.0250273076.
The spelling of 223676208 in words is "two hundred twenty-three million, six hundred seventy-six thousand, two hundred eight".
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