Search a number
-
+
227086848 = 293316427
BaseRepresentation
bin11011000100100…
…01001000000000
3120211022012121000
431202101020000
5431113234343
634311132000
75425130532
oct1542211000
9524265530
10227086848
1110720378a
1264074000
133807c321
1422233852
1514e09ed3
hexd891200

227086848 has 80 divisors (see below), whose sum is σ = 672233760. Its totient is φ = 75691008.

The previous prime is 227086817. The next prime is 227086859. The reversal of 227086848 is 848680722.

It is a happy number.

227086848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 5611 + ... + 22037.

It is an arithmetic number, because the mean of its divisors is an integer number (8402922).

Almost surely, 2227086848 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 227086848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336116880).

227086848 is an abundant number, since it is smaller than the sum of its proper divisors (445146912).

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

227086848 is an equidigital number, since it uses as much as digits as its factorization.

227086848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16454 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 227086848 is about 15069.4010498095. The cubic root of 227086848 is about 610.0948056534.

The spelling of 227086848 in words is "two hundred twenty-seven million, eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 16427 32854 49281 65708 98562 131416 147843 197124 262832 295686 394248 443529 525664 591372 788496 887058 1051328 1182744 1576992 1774116 2102656 2365488 3153984 3548232 4205312 4730976 6307968 7096464 8410624 9461952 12615936 14192928 18923904 25231872 28385856 37847808 56771712 75695616 113543424 227086848