Search a number
-
+
227256320 = 211522193
BaseRepresentation
bin11011000101110…
…10100000000000
3120211121211001202
431202322200000
5431134200240
634314520332
75426434604
oct1542724000
9524554052
10227256320
1110730a045
12641360a8
133810b4c5
1422279504
1514e40315
hexd8ba800

227256320 has 48 divisors (see below), whose sum is σ = 545306580. Its totient is φ = 90898432.

The previous prime is 227256301. The next prime is 227256343. The reversal of 227256320 is 23652722.

It can be written as a sum of positive squares in 2 ways, for example, as 217621504 + 9634816 = 14752^2 + 3104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 21336.

Almost surely, 2227256320 is an apocalyptic number.

227256320 is a gapful number since it is divisible by the number (20) 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 227256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272653290).

227256320 is an abundant number, since it is smaller than the sum of its proper divisors (318050260).

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

227256320 is an equidigital number, since it uses as much as digits as its factorization.

227256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22220 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 227256320 is about 15075.0230513920. The cubic root of 227256320 is about 610.2465365557.

The spelling of 227256320 in words is "two hundred twenty-seven million, two hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 22193 44386 88772 110965 177544 221930 355088 443860 710176 887720 1420352 1775440 2840704 3550880 5681408 7101760 11362816 14203520 22725632 28407040 45451264 56814080 113628160 227256320