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22632461 is a prime number
BaseRepresentation
bin101011001010…
…1100000001101
31120120211220022
41112111200031
521243214321
62125031525
7363241565
oct126254015
946524808
1022632461
1111859115
1276b55a5
1348c56b7
143011da5
151ec0dab
hex159580d

22632461 has 2 divisors, whose sum is σ = 22632462. Its totient is φ = 22632460.

The previous prime is 22632443. The next prime is 22632479. The reversal of 22632461 is 16423622.

It is a balanced prime because it is at equal distance from previous prime (22632443) and next prime (22632479).

It can be written as a sum of positive squares in only one way, i.e., 20529961 + 2102500 = 4531^2 + 1450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22632461 is a prime.

It is equal to p1426544 and since 22632461 and 1426544 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22632461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22632481) 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, 11316230 + 11316231.

It is an arithmetic number, because the mean of its divisors is an integer number (11316231).

Almost surely, 222632461 is an apocalyptic number.

It is an amenable number.

22632461 is a deficient number, since it is larger than the sum of its proper divisors (1).

22632461 is an equidigital number, since it uses as much as digits as its factorization.

22632461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 26.

The square root of 22632461 is about 4757.3586158708. The cubic root of 22632461 is about 282.8637275883.

The spelling of 22632461 in words is "twenty-two million, six hundred thirty-two thousand, four hundred sixty-one".