Base | Representation |
---|---|
bin | 11010100110110… |
… | …01001111010000 |
3 | 120112222010021021 |
4 | 31103121033100 |
5 | 424114003140 |
6 | 34051405224 |
7 | 5350031434 |
oct | 1523311720 |
9 | 515863237 |
10 | 223187920 |
11 | 104a9042a |
12 | 628b3814 |
13 | 37315777 |
14 | 218da9c4 |
15 | 148d9b4a |
hex | d4d93d0 |
223187920 has 20 divisors (see below), whose sum is σ = 518912100. Its totient is φ = 89275136.
The previous prime is 223187911. The next prime is 223187947. The reversal of 223187920 is 29781322.
223187920 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 2 ways, for example, as 39639616 + 183548304 = 6296^2 + 13548^2 .
It is a tau number, because it is divible by the number of its divisors (20).
It is a super-3 number, since 3×2231879203 (a number of 26 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394845 + ... + 1395004.
It is an arithmetic number, because the mean of its divisors is an integer number (25945605).
Almost surely, 2223187920 is an apocalyptic number.
223187920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223187920 is an abundant number, since it is smaller than the sum of its proper divisors (295724180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223187920 is a wasteful number, since it uses less digits than its factorization.
223187920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2789862 (or 2789856 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 34.
The square root of 223187920 is about 14939.4752250539. The cubic root of 223187920 is about 606.5829910490.
The spelling of 223187920 in words is "two hundred twenty-three million, one hundred eighty-seven thousand, nine hundred twenty".
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