Search a number
-
+
12226956 = 22371947163
BaseRepresentation
bin101110101001…
…000110001100
3212000012020020
4232221012030
511112230311
61114022140
7205633050
oct56510614
925005206
1012226956
1169a1325
124117950
1326c13b1
1418a3c60
151117c06
hexba918c

12226956 has 96 divisors (see below), whose sum is σ = 35266560. Its totient is φ = 3219264.

The previous prime is 12226933. The next prime is 12226957. The reversal of 12226956 is 65962221.

It is not an unprimeable number, because it can be changed into a prime (12226957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74931 + ... + 75093.

It is an arithmetic number, because the mean of its divisors is an integer number (367360).

Almost surely, 212226956 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 12226956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633280).

12226956 is an abundant number, since it is smaller than the sum of its proper divisors (23039604).

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

12226956 is a wasteful number, since it uses less digits than its factorization.

12226956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 12226956 is about 3496.7064503615. The cubic root of 12226956 is about 230.3771757145.

The spelling of 12226956 in words is "twelve million, two hundred twenty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 84 94 114 133 141 163 188 228 266 282 326 329 399 489 532 564 652 658 798 893 978 987 1141 1316 1596 1786 1956 1974 2282 2679 3097 3423 3572 3948 4564 5358 6194 6251 6846 7661 9291 10716 12388 12502 13692 15322 18582 18753 21679 22983 25004 30644 37164 37506 43358 45966 53627 65037 75012 86716 91932 107254 130074 145559 160881 214508 260148 291118 321762 436677 582236 643524 873354 1018913 1746708 2037826 3056739 4075652 6113478 12226956