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12262321 = 174173241
BaseRepresentation
bin101110110001…
…101110110001
3212001222202001
4232301232301
511114343241
61114454001
7206141131
oct56615661
925058661
1012262321
116a15955
124134301
132704516
1418b2ac1
151123431
hexbb1bb1

12262321 has 16 divisors (see below), whose sum is σ = 13538448. Its totient is φ = 11059200.

The previous prime is 12262303. The next prime is 12262333. The reversal of 12262321 is 12326221.

It can be written as a sum of positive squares in 8 ways, for example, as 12321 + 12250000 = 111^2 + 3500^2 .

It is a 4-Lehmer number, since φ(12262321) divides (12262321-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 12262321 - 219 = 11738033 is a prime.

It is a deceptive number, since it divides R12262320.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12262351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50761 + ... + 51001.

It is an arithmetic number, because the mean of its divisors is an integer number (846153).

It is a Poulet number, since it divides 212262320-1.

Almost surely, 212262321 is an apocalyptic number.

It is an amenable number.

12262321 is a deficient number, since it is larger than the sum of its proper divisors (1276127).

12262321 is a wasteful number, since it uses less digits than its factorization.

12262321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372.

The product of its digits is 288, while the sum is 19.

The square root of 12262321 is about 3501.7597004935. The cubic root of 12262321 is about 230.5990746728.

Adding to 12262321 its reverse (12326221), we get a palindrome (24588542).

The spelling of 12262321 in words is "twelve million, two hundred sixty-two thousand, three hundred twenty-one".

Divisors: 1 17 41 73 241 697 1241 2993 4097 9881 17593 50881 167977 299081 721313 12262321