Search a number
-
+
226571328 = 2632592113
BaseRepresentation
bin11011000000100…
…11010001000000
3120210100000102200
431200103101000
5431000240303
634252113200
75420552544
oct1540232100
9523300380
10226571328
11106991435
1263a65800
1337c2b799
142213ba24
1514d573a3
hexd813440

226571328 has 126 divisors (see below), whose sum is σ = 666465774. Its totient is φ = 73586688.

The previous prime is 226571327. The next prime is 226571347. The reversal of 226571328 is 823175622.

226571328 is a `hidden beast` number, since 2 + 265 + 71 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128323584 + 98247744 = 11328^2 + 9912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226571292 and 226571301.

It is not an unprimeable number, because it can be changed into a prime (226571327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2005000 + ... + 2005112.

Almost surely, 2226571328 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 226571328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333232887).

226571328 is an abundant number, since it is smaller than the sum of its proper divisors (439894446).

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

226571328 is a wasteful number, since it uses less digits than its factorization.

226571328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 177 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 226571328 is about 15052.2864708323. The cubic root of 226571328 is about 609.6327880353.

The spelling of 226571328 in words is "two hundred twenty-six million, five hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 113 118 144 177 192 226 236 288 339 354 452 472 531 576 678 708 904 944 1017 1062 1356 1416 1808 1888 2034 2124 2712 2832 3481 3616 3776 4068 4248 5424 5664 6667 6962 7232 8136 8496 10443 10848 11328 13334 13924 16272 16992 20001 20886 21696 26668 27848 31329 32544 33984 40002 41772 53336 55696 60003 62658 65088 80004 83544 106672 111392 120006 125316 160008 167088 213344 222784 240012 250632 320016 334176 393353 426688 480024 501264 640032 668352 786706 960048 1002528 1180059 1280064 1573412 1920096 2005056 2360118 3146824 3540177 3840192 4720236 6293648 7080354 9440472 12587296 14160708 18880944 25174592 28321416 37761888 56642832 75523776 113285664 226571328