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12262133 = 13237253
BaseRepresentation
bin101110110001…
…101011110101
3212001222111002
4232301223311
511114342013
61114453045
7206140442
oct56615365
925058432
1012262133
116a157a4
124134185
132704400
1418b29c9
151123358
hexbb1af5

12262133 has 18 divisors (see below), whose sum is σ = 13903974. Its totient is φ = 10805184.

The previous prime is 12262123. The next prime is 12262169. The reversal of 12262133 is 33126221.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 552049 + 11710084 = 743^2 + 3422^2 .

It is not a de Polignac number, because 12262133 - 218 = 11999989 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 231335 + ... + 231387.

It is an arithmetic number, because the mean of its divisors is an integer number (772443).

Almost surely, 212262133 is an apocalyptic number.

12262133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12262133 is a deficient number, since it is larger than the sum of its proper divisors (1641841).

12262133 is an equidigital number, since it uses as much as digits as its factorization.

12262133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 103 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 12262133 is about 3501.7328567439. The cubic root of 12262133 is about 230.5978961888.

Adding to 12262133 its reverse (33126221), we get a palindrome (45388354).

The spelling of 12262133 in words is "twelve million, two hundred sixty-two thousand, one hundred thirty-three".

Divisors: 1 13 37 53 169 481 689 1369 1961 6253 8957 17797 25493 72557 231361 331409 943241 12262133