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12213441 = 323736677
BaseRepresentation
bin101110100101…
…110011000001
3211222111200200
4232211303001
511111312231
61113435413
7205545462
oct56456301
924874620
1012213441
116992159
12410bb69
1326b81b6
14189cd69
151113be6
hexba5cc1

12213441 has 12 divisors (see below), whose sum is σ = 18118932. Its totient is φ = 7922016.

The previous prime is 12213403. The next prime is 12213469. The reversal of 12213441 is 14431221.

12213441 is a `hidden beast` number, since 1 + 221 + 3 + 441 = 666.

12213441 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 680625 = 3396^2 + 825^2 .

It is not a de Polignac number, because 12213441 - 29 = 12212929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12213401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18006 + ... + 18671.

It is an arithmetic number, because the mean of its divisors is an integer number (1509911).

Almost surely, 212213441 is an apocalyptic number.

It is an amenable number.

12213441 is a deficient number, since it is larger than the sum of its proper divisors (5905491).

12213441 is a wasteful number, since it uses less digits than its factorization.

12213441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36720 (or 36717 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12213441 is about 3494.7733832110. The cubic root of 12213441 is about 230.2922623636.

Adding to 12213441 its reverse (14431221), we get a palindrome (26644662).

The spelling of 12213441 in words is "twelve million, two hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 37 111 333 36677 110031 330093 1357049 4071147 12213441