Search a number
-
+
227813376 = 211375297
BaseRepresentation
bin11011001010000…
…10100000000000
3120212200010012110
431211002200000
5431310012001
634334455320
75434244640
oct1545024000
9525603173
10227813376
1110765a61a
1264364540
1338274c1b
1422382520
15150003d6
hexd942800

227813376 has 96 divisors (see below), whose sum is σ = 694249920. Its totient is φ = 65077248.

The previous prime is 227813359. The next prime is 227813381. The reversal of 227813376 is 673318722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40360 + ... + 45656.

It is an arithmetic number, because the mean of its divisors is an integer number (7231770).

Almost surely, 2227813376 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 227813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347124960).

227813376 is an abundant number, since it is smaller than the sum of its proper divisors (466436544).

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

227813376 is an equidigital number, since it uses as much as digits as its factorization.

227813376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5309 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 227813376 is about 15093.4878672890. The cubic root of 227813376 is about 610.7447465575.

The spelling of 227813376 in words is "two hundred twenty-seven million, eight hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5297 5376 6144 7168 10594 10752 14336 15891 21188 21504 31782 37079 42376 43008 63564 74158 84752 111237 127128 148316 169504 222474 254256 296632 339008 444948 508512 593264 678016 889896 1017024 1186528 1356032 1779792 2034048 2373056 2712064 3559584 4068096 4746112 5424128 7119168 8136192 9492224 10848256 14238336 16272384 18984448 28476672 32544768 37968896 56953344 75937792 113906688 227813376