| Base | Representation |
|---|---|
| bin | 11010101100000… |
| … | …11011001000000 |
| 3 | 120121021112022000 |
| 4 | 31112003121000 |
| 5 | 424303303424 |
| 6 | 34114344000 |
| 7 | 5355663360 |
| oct | 1526033100 |
| 9 | 517245260 |
| 10 | 223884864 |
| 11 | 105417015 |
| 12 | 62b8b000 |
| 13 | 374caa68 |
| 14 | 21a3c9a0 |
| 15 | 149c63c9 |
| hex | d583640 |
223884864 has 224 divisors, whose sum is σ = 764682240. Its totient is φ = 62913024.
The previous prime is 223884863. The next prime is 223884877. The reversal of 223884864 is 468488322.
223884864 is nontrivially palindromic in base 5.
223884864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (224).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (223884863) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003857 + ... + 1004079.
It is an arithmetic number, because the mean of its divisors is an integer number (3413760).
Almost surely, 2223884864 is an apocalyptic number.
223884864 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 223884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382341120).
223884864 is an abundant number, since it is smaller than the sum of its proper divisors (540797376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223884864 is a wasteful number, since it uses less digits than its factorization.
223884864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 334 (or 318 counting only the distinct ones).
The product of its digits is 589824, while the sum is 45.
The square root of 223884864 is about 14962.7826289096. The cubic root of 223884864 is about 607.2137227601.
The spelling of 223884864 in words is "two hundred twenty-three million, eight hundred eighty-four thousand, eight hundred sixty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.063 sec. • engine limits •