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225118500 = 22353223673
BaseRepresentation
bin11010110101100…
…00100100100100
3120200121012112020
431122300210210
5430112243000
634201023140
75402322105
oct1532604444
9520535466
10225118500
11106089952
1263484ab0
1337840419
1421c803ac
1514b6bba0
hexd6b0924

225118500 has 96 divisors (see below), whose sum is σ = 659463168. Its totient is φ = 59673600.

The previous prime is 225118483. The next prime is 225118513. The reversal of 225118500 is 5811522.

225118500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334164 + ... + 334836.

It is an arithmetic number, because the mean of its divisors is an integer number (6869408).

Almost surely, 2225118500 is an apocalyptic number.

225118500 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 225118500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329731584).

225118500 is an abundant number, since it is smaller than the sum of its proper divisors (434344668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225118500 is a wasteful number, since it uses less digits than its factorization.

225118500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 225118500 is about 15003.9494800536. The cubic root of 225118500 is about 608.3269572527.

The spelling of 225118500 in words is "two hundred twenty-five million, one hundred eighteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 223 250 300 375 446 500 669 673 750 892 1115 1338 1346 1500 2019 2230 2676 2692 3345 3365 4038 4460 5575 6690 6730 8076 10095 11150 13380 13460 16725 16825 20190 22300 27875 33450 33650 40380 50475 55750 66900 67300 83625 84125 100950 111500 150079 167250 168250 201900 252375 300158 334500 336500 450237 504750 600316 750395 900474 1009500 1500790 1800948 2251185 3001580 3751975 4502370 7503950 9004740 11255925 15007900 18759875 22511850 37519750 45023700 56279625 75039500 112559250 225118500