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225130248 = 233272973211
BaseRepresentation
bin11010110101100…
…11011100001000
3120200121210122100
431122303130020
5430113131443
634201153400
75402401260
oct1532633410
9520553570
10225130248
11106097762
126348b860
1337845885
1421c847a0
1514b703d3
hexd6b3708

225130248 has 192 divisors, whose sum is σ = 734198400. Its totient is φ = 60963840.

The previous prime is 225130231. The next prime is 225130261. The reversal of 225130248 is 842031522.

225130248 is digitally balanced in base 2 and base 3, because in such bases 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 47 ways as a sum of consecutive naturals, for example, 1066863 + ... + 1067073.

It is an arithmetic number, because the mean of its divisors is an integer number (3823950).

Almost surely, 2225130248 is an apocalyptic number.

225130248 is a gapful number since it is divisible by the number (28) 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 225130248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367099200).

225130248 is an abundant number, since it is smaller than the sum of its proper divisors (509068152).

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

225130248 is a wasteful number, since it uses less digits than its factorization.

225130248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 225130248 is about 15004.3409718654. The cubic root of 225130248 is about 608.3375390881.

The spelling of 225130248 in words is "two hundred twenty-five million, one hundred thirty thousand, two hundred forty-eight".