Base | Representation |
---|---|
bin | 11010100110011… |
… | …11110111010000 |
3 | 120112220011121001 |
4 | 31103033313100 |
5 | 424111241040 |
6 | 34050511344 |
7 | 5346511456 |
oct | 1523176720 |
9 | 515804531 |
10 | 223149520 |
11 | 104a645a0 |
12 | 62895554 |
13 | 37301149 |
14 | 218ca9d6 |
15 | 148cd59a |
hex | d4cfdd0 |
223149520 has 80 divisors (see below), whose sum is σ = 568892160. Its totient is φ = 80729600.
The previous prime is 223149517. The next prime is 223149523. The reversal of 223149520 is 25941322.
It is an interprime number because it is at equal distance from previous prime (223149517) and next prime (223149523).
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-3 number, since 3×2231495203 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223149523) 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, 209790 + ... + 210850.
It is an arithmetic number, because the mean of its divisors is an integer number (7111152).
Almost surely, 2223149520 is an apocalyptic number.
223149520 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 223149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284446080).
223149520 is an abundant number, since it is smaller than the sum of its proper divisors (345742640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223149520 is a wasteful number, since it uses less digits than its factorization.
223149520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 28.
The square root of 223149520 is about 14938.1899840643. The cubic root of 223149520 is about 606.5482010496.
The spelling of 223149520 in words is "two hundred twenty-three million, one hundred forty-nine thousand, five hundred twenty".
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