| Base | Representation |
|---|---|
| bin | 11010111000010… |
| … | …00101101100000 |
| 3 | 120201021112202100 |
| 4 | 31130020231200 |
| 5 | 430210321040 |
| 6 | 34212450400 |
| 7 | 5405354460 |
| oct | 1534105540 |
| 9 | 521245670 |
| 10 | 225479520 |
| 11 | 106306112 |
| 12 | 63619a00 |
| 13 | 37938846 |
| 14 | 21d35ba0 |
| 15 | 14bddb30 |
| hex | d708b60 |
225479520 has 144 divisors (see below), whose sum is σ = 879409440. Its totient is φ = 51535872.
The previous prime is 225479497. The next prime is 225479521. The reversal of 225479520 is 25974522.
It is a happy number.
225479520 is a `hidden beast` number, since 2 + 2 + 547 + 95 + 20 = 666.
225479520 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225479521) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1105 + ... + 21264.
It is an arithmetic number, because the mean of its divisors is an integer number (6107010).
Almost surely, 2225479520 is an apocalyptic number.
225479520 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 225479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439704720).
225479520 is an abundant number, since it is smaller than the sum of its proper divisors (653929920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225479520 is a wasteful number, since it uses less digits than its factorization.
225479520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22397 (or 22386 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The square root of 225479520 is about 15015.9754927877. The cubic root of 225479520 is about 608.6519726006.
The spelling of 225479520 in words is "two hundred twenty-five million, four hundred seventy-nine thousand, five hundred twenty".
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