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22212133 is a prime number
BaseRepresentation
bin101010010111…
…0111000100101
31112210111022121
41110232320211
521141242013
62112025541
7356541256
oct124567045
945714277
1022212133
11115a1339
1275322b1
1347a9298
142d42b2d
151e3b58d
hex152ee25

22212133 has 2 divisors, whose sum is σ = 22212134. Its totient is φ = 22212132.

The previous prime is 22212131. The next prime is 22212187. The reversal of 22212133 is 33121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18378369 + 3833764 = 4287^2 + 1958^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212133 - 21 = 22212131 is a prime.

Together with 22212131, it forms a pair of twin primes.

It is equal to p1401721 and since 22212133 and 1401721 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106066 + 11106067.

It is an arithmetic number, because the mean of its divisors is an integer number (11106067).

Almost surely, 222212133 is an apocalyptic number.

It is an amenable number.

22212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212133 is an equidigital number, since it uses as much as digits as its factorization.

22212133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 16.

The square root of 22212133 is about 4712.9749628022. The cubic root of 22212133 is about 281.1016674285.

Adding to 22212133 its reverse (33121222), we get a palindrome (55333355).

The spelling of 22212133 in words is "twenty-two million, two hundred twelve thousand, one hundred thirty-three".