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12224322 = 23211107577
BaseRepresentation
bin101110101000…
…011101000010
3212000001121200
4232220131002
511112134242
61114002030
7205622265
oct56503502
925001550
1012224322
11699a350
124116316
1326c0136
1418a2cdc
15111704c
hexba8742

12224322 has 48 divisors (see below), whose sum is σ = 29214432. Its totient is φ = 3663360.

The previous prime is 12224321. The next prime is 12224327. The reversal of 12224322 is 22342221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12224295 and 12224304.

It is not an unprimeable number, because it can be changed into a prime (12224321) 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, 20898 + ... + 21474.

It is an arithmetic number, because the mean of its divisors is an integer number (608634).

Almost surely, 212224322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607216).

12224322 is an abundant number, since it is smaller than the sum of its proper divisors (16990110).

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

12224322 is a wasteful number, since it uses less digits than its factorization.

12224322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 700 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 12224322 is about 3496.3297899369. The cubic root of 12224322 is about 230.3606314751.

Adding to 12224322 its reverse (22342221), we get a palindrome (34566543).

It can be divided in two parts, 122243 and 22, that added together give a triangular number (122265 = T494).

The spelling of 12224322 in words is "twelve million, two hundred twenty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 577 642 963 1154 1177 1731 1926 2354 3462 3531 5193 6347 7062 10386 10593 12694 19041 21186 38082 57123 61739 114246 123478 185217 370434 555651 679129 1111302 1358258 2037387 4074774 6112161 12224322