Base | Representation |
---|---|
bin | 11010101000100… |
… | …10011111000000 |
3 | 120120102000220201 |
4 | 31110102133000 |
5 | 424144004100 |
6 | 34100414544 |
7 | 5352026155 |
oct | 1524223700 |
9 | 516360821 |
10 | 223422400 |
11 | 105130613 |
12 | 629a7454 |
13 | 37398406 |
14 | 2195c22c |
15 | 1493436a |
hex | d5127c0 |
223422400 has 84 divisors (see below), whose sum is σ = 552754800. Its totient is φ = 88883200.
The previous prime is 223422389. The next prime is 223422431. The reversal of 223422400 is 4224322.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497376 + ... + 497824.
Almost surely, 2223422400 is an apocalyptic number.
223422400 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 223422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276377400).
223422400 is an abundant number, since it is smaller than the sum of its proper divisors (329332400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223422400 is a wasteful number, since it uses less digits than its factorization.
223422400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 782 (or 767 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 19.
The square root of 223422400 is about 14947.3208301689. The cubic root of 223422400 is about 606.7953409521.
Adding to 223422400 its reverse (4224322), we get a palindrome (227646722).
It can be divided in two parts, 22342 and 2400, that added together give a palindrome (24742).
The spelling of 223422400 in words is "two hundred twenty-three million, four hundred twenty-two thousand, four hundred".
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