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12226896 = 2433113183
BaseRepresentation
bin101110101001…
…000101010000
3212000012011000
4232221011100
511112230041
61114022000
7205632633
oct56510520
925005130
1012226896
1169a1280
124117900
1326c1366
1418a3c1a
151117bb6
hexba9150

12226896 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3542400.

The previous prime is 12226873. The next prime is 12226933. The reversal of 12226896 is 69862221.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 12226896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147271 + ... + 147353.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 212226896 is an apocalyptic number.

12226896 is a gapful number since it is divisible by the number (16) 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 12226896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12226896 is an abundant number, since it is smaller than the sum of its proper divisors (27770544).

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

12226896 is a wasteful number, since it uses less digits than its factorization.

12226896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12226896 is about 3496.6978708490. The cubic root of 12226896 is about 230.3767988790.

It can be divided in two parts, 1222 and 6896, that added together give a palindrome (8118).

The spelling of 12226896 in words is "twelve million, two hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 83 88 93 99 108 124 132 144 166 176 186 198 216 248 249 264 279 297 332 341 372 396 432 496 498 528 558 594 664 682 744 747 792 837 913 996 1023 1116 1188 1328 1364 1488 1494 1584 1674 1826 1992 2046 2232 2241 2376 2573 2728 2739 2988 3069 3348 3652 3984 4092 4464 4482 4752 5146 5456 5478 5976 6138 6696 7304 7719 8184 8217 8964 9207 10292 10956 11952 12276 13392 14608 15438 16368 16434 17928 18414 20584 21912 23157 24552 24651 28303 30876 32868 35856 36828 41168 43824 46314 49104 49302 56606 61752 65736 69471 73656 84909 92628 98604 113212 123504 131472 138942 147312 169818 185256 197208 226424 254727 277884 339636 370512 394416 452848 509454 555768 679272 764181 1018908 1111536 1358544 1528362 2037816 3056724 4075632 6113448 12226896