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12226788 = 22367599
BaseRepresentation
bin101110101001…
…000011100100
3212000012000000
4232221003210
511112224123
61114021300
7205632420
oct56510344
925005000
1012226788
1169a1192
124117830
1326c12b2
1418a3b80
151117b43
hexba90e4

12226788 has 84 divisors (see below), whose sum is σ = 36724800. Its totient is φ = 3487536.

The previous prime is 12226787. The next prime is 12226789. The reversal of 12226788 is 88762221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12226787) and next prime (12226789).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (12226787) 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 27 ways as a sum of consecutive naturals, for example, 20113 + ... + 20711.

It is an arithmetic number, because the mean of its divisors is an integer number (437200).

Almost surely, 212226788 is an apocalyptic number.

12226788 is a gapful number since it is divisible by the number (18) 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 12226788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362400).

12226788 is an abundant number, since it is smaller than the sum of its proper divisors (24498012).

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

12226788 is an equidigital number, since it uses as much as digits as its factorization.

12226788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 12226788 is about 3496.6824276734. The cubic root of 12226788 is about 230.3761205720.

The spelling of 12226788 in words is "twelve million, two hundred twenty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 599 729 756 972 1134 1198 1458 1701 1797 2268 2396 2916 3402 3594 4193 5103 5391 6804 7188 8386 10206 10782 12579 16173 16772 20412 21564 25158 32346 37737 48519 50316 64692 75474 97038 113211 145557 150948 194076 226422 291114 339633 436671 452844 582228 679266 873342 1018899 1358532 1746684 2037798 3056697 4075596 6113394 12226788