Search a number
-
+
225258348 = 22378332309
BaseRepresentation
bin11010110110100…
…10101101101100
3120200212022100210
431123102231230
5430131231343
634204022420
75403443610
oct1533225554
9520768323
10225258348
11106174a27
1263531a10
133788bc83
1421cb9340
1514b98333
hexd6d2b6c

225258348 has 48 divisors (see below), whose sum is σ = 607944960. Its totient is φ = 63582144.

The previous prime is 225258337. The next prime is 225258373. The reversal of 225258348 is 843852522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9183 + ... + 23126.

It is an arithmetic number, because the mean of its divisors is an integer number (12665520).

Almost surely, 2225258348 is an apocalyptic number.

225258348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225258348 is an abundant number, since it is smaller than the sum of its proper divisors (382686612).

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

225258348 is a wasteful number, since it uses less digits than its factorization.

225258348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32406 (or 32404 counting only the distinct ones).

The product of its digits is 153600, while the sum is 39.

The square root of 225258348 is about 15008.6091294297. The cubic root of 225258348 is about 608.4528993646.

The spelling of 225258348 in words is "two hundred twenty-five million, two hundred fifty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6972 32309 64618 96927 129236 193854 226163 387708 452326 678489 904652 1356978 2681647 2713956 5363294 8044941 10726588 16089882 18771529 32179764 37543058 56314587 75086116 112629174 225258348