Base | Representation |
---|---|
bin | 11010100110010… |
… | …11111000111000 |
3 | 120112212100021002 |
4 | 31103023320320 |
5 | 424110230430 |
6 | 34050304132 |
7 | 5346413141 |
oct | 1523137070 |
9 | 515770232 |
10 | 223133240 |
11 | 104a53340 |
12 | 62888048 |
13 | 372c6905 |
14 | 218c4ac8 |
15 | 148c8845 |
hex | d4cbe38 |
223133240 has 64 divisors (see below), whose sum is σ = 553223520. Its totient is φ = 80320000.
The previous prime is 223133237. The next prime is 223133291. The reversal of 223133240 is 42331322.
223133240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231332403 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41930 + ... + 46950.
Almost surely, 2223133240 is an apocalyptic number.
223133240 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 223133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276611760).
223133240 is an abundant number, since it is smaller than the sum of its proper divisors (330090280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223133240 is a wasteful number, since it uses less digits than its factorization.
223133240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5144 (or 5140 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 223133240 is about 14937.6450620571. The cubic root of 223133240 is about 606.5334503346.
Adding to 223133240 its reverse (42331322), we get a palindrome (265464562).
The spelling of 223133240 in words is "two hundred twenty-three million, one hundred thirty-three thousand, two hundred forty".
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