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12226770 = 2325731861
BaseRepresentation
bin101110101001…
…000011010010
3212000011222100
4232221003102
511112224040
61114021230
7205632363
oct56510322
925004870
1012226770
1169a1176
124117816
1326c129a
1418a3b6a
151117b30
hexba90d2

12226770 has 48 divisors (see below), whose sum is σ = 32242392. Its totient is φ = 3214080.

The previous prime is 12226727. The next prime is 12226771. The reversal of 12226770 is 7762221.

It can be written as a sum of positive squares in 4 ways, for example, as 5861241 + 6365529 = 2421^2 + 2523^2 .

It is not an unprimeable number, because it can be changed into a prime (12226771) 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 23 ways as a sum of consecutive naturals, for example, 5640 + ... + 7500.

Almost surely, 212226770 is an apocalyptic number.

12226770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12226770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121196).

12226770 is an abundant number, since it is smaller than the sum of its proper divisors (20015622).

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

12226770 is a wasteful number, since it uses less digits than its factorization.

12226770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12226770 is about 3496.6798538042. The cubic root of 12226770 is about 230.3760075205.

Adding to 12226770 its reverse (7762221), we get a palindrome (19988991).

It can be divided in two parts, 12226 and 770, that added together give a square (12996 = 1142).

The spelling of 12226770 in words is "twelve million, two hundred twenty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 1861 2190 3285 3722 5583 6570 9305 11166 16749 18610 27915 33498 55830 83745 135853 167490 271706 407559 679265 815118 1222677 1358530 2037795 2445354 4075590 6113385 12226770