| Base | Representation |
|---|---|
| bin | 11010110000001… |
| … | …00011000010000 |
| 3 | 120122021101001000 |
| 4 | 31120010120100 |
| 5 | 424422210300 |
| 6 | 34133542000 |
| 7 | 5363323614 |
| oct | 1530043020 |
| 9 | 518241030 |
| 10 | 224413200 |
| 11 | 105747a60 |
| 12 | 631a4900 |
| 13 | 3765439b |
| 14 | 21b39344 |
| 15 | 14a7cc00 |
| hex | d604610 |
224413200 has 240 divisors, whose sum is σ = 871819200. Its totient is φ = 54374400.
The previous prime is 224413193. The next prime is 224413201. The reversal of 224413200 is 2314422.
224413200 is a `hidden beast` number, since 22 + 441 + 3 + 200 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×2244132002 = 100722568668480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (224413201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117856 + ... + 119744.
It is an arithmetic number, because the mean of its divisors is an integer number (3632580).
Almost surely, 2224413200 is an apocalyptic number.
224413200 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 224413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435909600).
224413200 is an abundant number, since it is smaller than the sum of its proper divisors (647406000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224413200 is a wasteful number, since it uses less digits than its factorization.
224413200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1927 (or 1910 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 224413200 is about 14980.4272302228. The cubic root of 224413200 is about 607.6909931401.
Adding to 224413200 its reverse (2314422), we get a palindrome (226727622).
The spelling of 224413200 in words is "two hundred twenty-four million, four hundred thirteen thousand, two hundred".
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