| Base | Representation |
|---|---|
| bin | 11010111010001… |
| … | …00001111100000 |
| 3 | 120201201221020110 |
| 4 | 31131010033200 |
| 5 | 430241121420 |
| 6 | 34222011320 |
| 7 | 5410421412 |
| oct | 1535041740 |
| 9 | 521657213 |
| 10 | 225723360 |
| 11 | 106462335 |
| 12 | 63716b40 |
| 13 | 379c2825 |
| 14 | 21d9a9b2 |
| 15 | 14c3aee0 |
| hex | d7443e0 |
225723360 has 96 divisors (see below), whose sum is σ = 713355552. Its totient is φ = 59996160.
The previous prime is 225723353. The next prime is 225723361. The reversal of 225723360 is 63327522.
225723360 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225723361) 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 15 ways as a sum of consecutive naturals, for example, 201522 + ... + 202638.
It is an arithmetic number, because the mean of its divisors is an integer number (7430787).
Almost surely, 2225723360 is an apocalyptic number.
225723360 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 225723360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356677776).
225723360 is an abundant number, since it is smaller than the sum of its proper divisors (487632192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225723360 is a wasteful number, since it uses less digits than its factorization.
225723360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 30.
The square root of 225723360 is about 15024.0926514715. The cubic root of 225723360 is about 608.8712981067.
The spelling of 225723360 in words is "two hundred twenty-five million, seven hundred twenty-three thousand, three hundred sixty".
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