Base | Representation |
---|---|
bin | 11010110101000… |
… | …10010101101000 |
3 | 120200111020112222 |
4 | 31122202111220 |
5 | 430103411300 |
6 | 34155453212 |
7 | 5401660121 |
oct | 1532422550 |
9 | 520436488 |
10 | 225060200 |
11 | 10604a072 |
12 | 63457208 |
13 | 3781ca21 |
14 | 21c67048 |
15 | 14b59785 |
hex | d6a2568 |
225060200 has 48 divisors (see below), whose sum is σ = 524614860. Its totient is φ = 89792000.
The previous prime is 225060197. The next prime is 225060203. The reversal of 225060200 is 2060522.
It is an interprime number because it is at equal distance from previous prime (225060197) and next prime (225060203).
It can be written as a sum of positive squares in 6 ways, for example, as 21883684 + 203176516 = 4678^2 + 14254^2 .
It is not an unprimeable number, because it can be changed into a prime (225060203) 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 11 ways as a sum of consecutive naturals, for example, 90980 + ... + 93420.
Almost surely, 2225060200 is an apocalyptic number.
225060200 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 225060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262307430).
225060200 is an abundant number, since it is smaller than the sum of its proper divisors (299554660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
225060200 is a wasteful number, since it uses less digits than its factorization.
225060200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2918 (or 2909 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 17.
The square root of 225060200 is about 15002.0065324609. The cubic root of 225060200 is about 608.2744389514.
The spelling of 225060200 in words is "two hundred twenty-five million, sixty thousand, two hundred".
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