Base | Representation |
---|---|
bin | 11010100111100… |
… | …00010001011101 |
3 | 120120010220200200 |
4 | 31103300101131 |
5 | 424130013034 |
6 | 34053414113 |
7 | 5350603500 |
oct | 1523602135 |
9 | 516126620 |
10 | 223282269 |
11 | 105045301 |
12 | 6293a339 |
13 | 373496b2 |
14 | 21923137 |
15 | 14907a99 |
hex | d4f045d |
223282269 has 72 divisors (see below), whose sum is σ = 393257592. Its totient is φ = 121605120.
The previous prime is 223282259. The next prime is 223282271. The reversal of 223282269 is 962282322.
223282269 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 4 ways, for example, as 974169 + 222308100 = 987^2 + 14910^2 .
It is not a de Polignac number, because 223282269 - 27 = 223282141 is a prime.
It is a super-3 number, since 3×2232822693 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223282219) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 958177 + ... + 958409.
It is an arithmetic number, because the mean of its divisors is an integer number (5461911).
Almost surely, 2223282269 is an apocalyptic number.
It is an amenable number.
223282269 is a deficient number, since it is larger than the sum of its proper divisors (169975323).
223282269 is a wasteful number, since it uses less digits than its factorization.
223282269 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 347 (or 337 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 223282269 is about 14942.6325993782. The cubic root of 223282269 is about 606.6684533149.
The spelling of 223282269 in words is "two hundred twenty-three million, two hundred eighty-two thousand, two hundred sixty-nine".
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