Search a number
-
+
227849248 = 25111913389
BaseRepresentation
bin11011001010010…
…11010000100000
3120212201221102001
431211023100200
5431312133443
634335333344
75434454344
oct1545132040
9525657361
10227849248
11107684570
1264381254
1338288353
1422391624
151500ad4d
hexd94b420

227849248 has 48 divisors (see below), whose sum is σ = 492065280. Its totient is φ = 102995200.

The previous prime is 227849239. The next prime is 227849257. The reversal of 227849248 is 842948722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (227849239) and next prime (227849257).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 227849198 and 227849207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65538 + ... + 68926.

It is an arithmetic number, because the mean of its divisors is an integer number (10251360).

Almost surely, 2227849248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227849248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246032640).

227849248 is an abundant number, since it is smaller than the sum of its proper divisors (264216032).

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

227849248 is a wasteful number, since it uses less digits than its factorization.

227849248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3593 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 227849248 is about 15094.6761475694. The cubic root of 227849248 is about 610.7768012830.

The spelling of 227849248 in words is "two hundred twenty-seven million, eight hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 191 352 382 764 1528 2101 3056 3389 4202 6112 6778 8404 13556 16808 27112 33616 37279 54224 67232 74558 108448 149116 298232 596464 647299 1192928 1294598 2589196 5178392 7120289 10356784 14240578 20713568 28481156 56962312 113924624 227849248