Search a number
-
+
226478208 = 2731153617
BaseRepresentation
bin11010111111111…
…00100010000000
3120210011021200210
431133330202000
5430434300313
634250114120
75420014215
oct1537744200
9523137623
10226478208
11106928480
1263a1b940
1337bc8298
1422115b0c
1514d399c3
hexd7fc880

226478208 has 64 divisors (see below), whose sum is σ = 656284320. Its totient is φ = 68628480.

The previous prime is 226478207. The next prime is 226478237. The reversal of 226478208 is 802874622.

226478208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (226478207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22585 + ... + 31032.

Almost surely, 2226478208 is an apocalyptic number.

It is an amenable number.

226478208 is an abundant number, since it is smaller than the sum of its proper divisors (429806112).

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

226478208 is a wasteful number, since it uses less digits than its factorization.

226478208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53645 (or 53633 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 226478208 is about 15049.1929351710. The cubic root of 226478208 is about 609.5492576305.

The spelling of 226478208 in words is "two hundred twenty-six million, four hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 53617 107234 160851 214468 321702 428936 589787 643404 857872 1179574 1286808 1715744 1769361 2359148 2573616 3431488 3538722 4718296 5147232 6862976 7077444 9436592 10294464 14154888 18873184 20588928 28309776 37746368 56619552 75492736 113239104 226478208