Base | Representation |
---|---|
bin | 11010100111111… |
… | …10101011010000 |
3 | 120120020220121200 |
4 | 31103332223100 |
5 | 424133410024 |
6 | 34054551200 |
7 | 5351240466 |
oct | 1523765320 |
9 | 516226550 |
10 | 223341264 |
11 | 105085663 |
12 | 62968500 |
13 | 3736a4c3 |
14 | 2193a836 |
15 | 1491a2c9 |
hex | d4fead0 |
223341264 has 60 divisors (see below), whose sum is σ = 628297956. Its totient is φ = 74059776.
The previous prime is 223341263. The next prime is 223341277. The reversal of 223341264 is 462143322.
It can be written as a sum of positive squares in 2 ways, for example, as 115347600 + 107993664 = 10740^2 + 10392^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223341263) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24432 + ... + 32304.
Almost surely, 2223341264 is an apocalyptic number.
223341264 is a gapful number since it is divisible by the number (24) 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 223341264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314148978).
223341264 is an abundant number, since it is smaller than the sum of its proper divisors (404956692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223341264 is a wasteful number, since it uses less digits than its factorization.
223341264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8084 (or 8075 counting only the distinct ones).
The product of its digits is 6912, while the sum is 27.
The square root of 223341264 is about 14944.6065187411. The cubic root of 223341264 is about 606.7218793421.
Adding to 223341264 its reverse (462143322), we get a palindrome (685484586).
The spelling of 223341264 in words is "two hundred twenty-three million, three hundred forty-one thousand, two hundred sixty-four".
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