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12266244 = 2232714799
BaseRepresentation
bin101110110010…
…101100000100
3212002012010100
4232302230010
511120004434
61114524100
7206155434
oct56625404
925065110
1012266244
116a188a1
124136630
132706243
1418b42c4
151124699
hexbb2b04

12266244 has 36 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 4030320.

The previous prime is 12266237. The next prime is 12266249. The reversal of 12266244 is 44266221.

12266244 is a `hidden beast` number, since 12 + 26 + 624 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12266249) 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 11 ways as a sum of consecutive naturals, for example, 157 + ... + 4955.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 212266244 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 12266244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

12266244 is an abundant number, since it is smaller than the sum of its proper divisors (19183356).

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

12266244 is a wasteful number, since it uses less digits than its factorization.

12266244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4875 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12266244 is about 3502.3198026451. The cubic root of 12266244 is about 230.6236633760.

It can be divided in two parts, 122 and 66244, that added together give a palindrome (66366).

The spelling of 12266244 in words is "twelve million, two hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 4799 9598 14397 19196 28794 43191 57588 86382 172764 340729 681458 1022187 1362916 2044374 3066561 4088748 6133122 12266244