| Base | Representation |
|---|---|
| bin | 11010110110011… |
| … | …11011010000000 |
| 3 | 120200211121210000 |
| 4 | 31123033122000 |
| 5 | 430130313200 |
| 6 | 34203440000 |
| 7 | 5403356244 |
| oct | 1533173200 |
| 9 | 520747700 |
| 10 | 225244800 |
| 11 | 106165830 |
| 12 | 63526000 |
| 13 | 37885a61 |
| 14 | 21cb4424 |
| 15 | 14b94300 |
| hex | d6cf680 |
225244800 has 480 divisors, whose sum is σ = 918244800. Its totient is φ = 53913600.
The previous prime is 225244783. The next prime is 225244837. The reversal of 225244800 is 8442522.
It is a happy number.
225244800 is digitally balanced in base 2, 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 (480).
It is a super-3 number, since 3×2252448003 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2851161 + ... + 2851239.
It is an arithmetic number, because the mean of its divisors is an integer number (1913010).
Almost surely, 2225244800 is an apocalyptic number.
225244800 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 225244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459122400).
225244800 is an abundant number, since it is smaller than the sum of its proper divisors (693000000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225244800 is a wasteful number, since it uses less digits than its factorization.
225244800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 126 (or 100 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 27.
The square root of 225244800 is about 15008.1577816866. The cubic root of 225244800 is about 608.4407008006.
It can be divided in two parts, 225 and 244800, that added together give a square (245025 = 4952).
The spelling of 225244800 in words is "two hundred twenty-five million, two hundred forty-four thousand, eight hundred".
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