Search a number
-
+
22323541 is a prime number
BaseRepresentation
bin101010100101…
…0000101010101
31120000011010211
41111022011111
521203323131
62114245421
7360514132
oct125120525
946004124
1022323541
1111668009
127586871
134817bc6
142d71589
151e5e5b1
hex154a155

22323541 has 2 divisors, whose sum is σ = 22323542. Its totient is φ = 22323540.

The previous prime is 22323523. The next prime is 22323563. The reversal of 22323541 is 14532322.

It is an a-pointer prime, because the next prime (22323563) can be obtained adding 22323541 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15800625 + 6522916 = 3975^2 + 2554^2 .

It is a cyclic number.

It is not a de Polignac number, because 22323541 - 29 = 22323029 is a prime.

It is a super-3 number, since 3×223235413 (a number of 23 digits) contains 333 as substring.

It is equal to p1408306 and since 22323541 and 1408306 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 (22323571) 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 as a sum of consecutive naturals, namely, 11161770 + 11161771.

It is an arithmetic number, because the mean of its divisors is an integer number (11161771).

Almost surely, 222323541 is an apocalyptic number.

It is an amenable number.

22323541 is a deficient number, since it is larger than the sum of its proper divisors (1).

22323541 is an equidigital number, since it uses as much as digits as its factorization.

22323541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440, while the sum is 22.

The square root of 22323541 is about 4724.7794657529. The cubic root of 22323541 is about 281.5708518720.

Adding to 22323541 its reverse (14532322), we get a palindrome (36855863).

The spelling of 22323541 in words is "twenty-two million, three hundred twenty-three thousand, five hundred forty-one".