| Base | Representation |
|---|---|
| bin | 11010111011001… |
| … | …11010010000000 |
| 3 | 120202000020010000 |
| 4 | 31131213102000 |
| 5 | 430310220010 |
| 6 | 34225040000 |
| 7 | 5411560011 |
| oct | 1535472200 |
| 9 | 522006100 |
| 10 | 225866880 |
| 11 | 106550148 |
| 12 | 63786000 |
| 13 | 37a42c55 |
| 14 | 21dd7008 |
| 15 | 14c687c0 |
| hex | d767480 |
225866880 has 160 divisors (see below), whose sum is σ = 806796540. Its totient is φ = 60217344.
The previous prime is 225866873. The next prime is 225866881. The reversal of 225866880 is 88668522.
225866880 is a `hidden beast` number, since 2 + 2 + 586 + 68 + 8 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 205291584 + 20575296 = 14328^2 + 4536^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (225866881) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49662 + ... + 54018.
Almost surely, 2225866880 is an apocalyptic number.
225866880 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 225866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403398270).
225866880 is an abundant number, since it is smaller than the sum of its proper divisors (580929660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225866880 is an equidigital number, since it uses as much as digits as its factorization.
225866880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4388 (or 4367 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 45.
The square root of 225866880 is about 15028.8682208608. The cubic root of 225866880 is about 609.0003154649. Note that the first 3 decimals are identical.
The spelling of 225866880 in words is "two hundred twenty-five million, eight hundred sixty-six thousand, eight hundred eighty".
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