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12162241 = 721361313
BaseRepresentation
bin101110011001…
…010011000001
3211212220110101
4232121103001
511103142431
61112402401
7205243300
oct56312301
924786411
1012162241
116957743
1240a6401
13269aac0
141888437
151103961
hexb994c1

12162241 has 24 divisors (see below), whose sum is σ = 15535464. Its totient is φ = 9434880.

The previous prime is 12162211. The next prime is 12162247. The reversal of 12162241 is 14226121.

It can be written as a sum of positive squares in 4 ways, for example, as 2371600 + 9790641 = 1540^2 + 3129^2 .

It is not a de Polignac number, because 12162241 - 27 = 12162113 is a prime.

It is a super-2 number, since 2×121622412 = 295840212284162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12162247) 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, 38701 + ... + 39013.

It is an arithmetic number, because the mean of its divisors is an integer number (647311).

Almost surely, 212162241 is an apocalyptic number.

It is an amenable number.

12162241 is a deficient number, since it is larger than the sum of its proper divisors (3373223).

12162241 is a wasteful number, since it uses less digits than its factorization.

12162241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 12162241 is about 3487.4404654417. The cubic root of 12162241 is about 229.9700086918.

Adding to 12162241 its reverse (14226121), we get a palindrome (26388362).

It can be divided in two parts, 12162 and 241, that added together give a triangular number (12403 = T157).

The spelling of 12162241 in words is "twelve million, one hundred sixty-two thousand, two hundred forty-one".

Divisors: 1 7 13 49 61 91 313 427 637 793 2191 2989 4069 5551 15337 19093 28483 38857 133651 199381 248209 935557 1737463 12162241