Base | Representation |
---|---|
bin | 11010111010000… |
… | …01001010010100 |
3 | 120201201021221001 |
4 | 31131001022110 |
5 | 430240220430 |
6 | 34221433044 |
7 | 5410336543 |
oct | 1535011224 |
9 | 521637831 |
10 | 225710740 |
11 | 106453902 |
12 | 6370b784 |
13 | 379b9b68 |
14 | 21d9615a |
15 | 14c373ca |
hex | d741294 |
225710740 has 48 divisors (see below), whose sum is σ = 487463760. Its totient is φ = 87736320.
The previous prime is 225710731. The next prime is 225710743. The reversal of 225710740 is 47017522.
225710740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 8678916 + 217031824 = 2946^2 + 14732^2 .
It is a junction number, because it is equal to n+sod(n) for n = 225710699 and 225710708.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (225710743) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335044 + ... + 335716.
It is an arithmetic number, because the mean of its divisors is an integer number (10155495).
Almost surely, 2225710740 is an apocalyptic number.
225710740 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 225710740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243731880).
225710740 is an abundant number, since it is smaller than the sum of its proper divisors (261753020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225710740 is a wasteful number, since it uses less digits than its factorization.
225710740 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1132 (or 1130 counting only the distinct ones).
The product of its (nonzero) digits is 3920, while the sum is 28.
The square root of 225710740 is about 15023.6726535159. The cubic root of 225710740 is about 608.8599507374.
The spelling of 225710740 in words is "two hundred twenty-five million, seven hundred ten thousand, seven hundred forty".
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