| Base | Representation |
|---|---|
| bin | 11010110111001… |
| … | …01101100100000 |
| 3 | 120201000021000100 |
| 4 | 31123211230200 |
| 5 | 430141223341 |
| 6 | 34205422400 |
| 7 | 5404216356 |
| oct | 1533455440 |
| 9 | 521007010 |
| 10 | 225336096 |
| 11 | 106218387 |
| 12 | 6356aa00 |
| 13 | 378b848b |
| 14 | 21cd97d6 |
| 15 | 14bb13b6 |
| hex | d6e5b20 |
225336096 has 72 divisors (see below), whose sum is σ = 642702060. Its totient is φ = 74889216.
The previous prime is 225336091. The next prime is 225336101. The reversal of 225336096 is 690633522.
225336096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (225336091) and next prime (225336101).
It can be written as a sum of positive squares in 2 ways, for example, as 182250000 + 43086096 = 13500^2 + 6564^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 225336096.
It is not an unprimeable number, because it can be changed into a prime (225336091) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116836 + ... + 118748.
Almost surely, 2225336096 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 225336096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321351030).
225336096 is an abundant number, since it is smaller than the sum of its proper divisors (417365964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225336096 is a wasteful number, since it uses less digits than its factorization.
225336096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).
The product of its (nonzero) digits is 58320, while the sum is 36.
The square root of 225336096 is about 15011.1990193988. The cubic root of 225336096 is about 608.5228938915.
The spelling of 225336096 in words is "two hundred twenty-five million, three hundred thirty-six thousand, ninety-six".
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