Base | Representation |
---|---|
bin | 11010100110000… |
… | …11001101010000 |
3 | 120112210112111001 |
4 | 31103003031100 |
5 | 424103111210 |
6 | 34045431344 |
7 | 5346204361 |
oct | 1523031520 |
9 | 515715431 |
10 | 223097680 |
11 | 104a29653 |
12 | 6286b554 |
13 | 372b3680 |
14 | 218b5b68 |
15 | 148bd03a |
hex | d4c3350 |
223097680 has 40 divisors (see below), whose sum is σ = 558604872. Its totient is φ = 82374144.
The previous prime is 223097671. The next prime is 223097711. The reversal of 223097680 is 86790322.
It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 208167184 = 3864^2 + 14428^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×2230976803 (a number of 26 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106219 + ... + 108298.
Almost surely, 2223097680 is an apocalyptic number.
223097680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223097680 is an abundant number, since it is smaller than the sum of its proper divisors (335507192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223097680 is a wasteful number, since it uses less digits than its factorization.
223097680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 214543 (or 214537 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 37.
The square root of 223097680 is about 14936.4547333027. The cubic root of 223097680 is about 606.5012282188.
The spelling of 223097680 in words is "two hundred twenty-three million, ninety-seven thousand, six hundred eighty".
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