Search a number
-
+
22224401 is a prime number
BaseRepresentation
bin101010011000…
…1111000010001
31112211010010222
41110301320101
521142140101
62112202425
7356622113
oct124617021
945733128
1022224401
11115aa581
127539415
1347b1a44
142d473b3
151e4001b
hex1531e11

22224401 has 2 divisors, whose sum is σ = 22224402. Its totient is φ = 22224400.

The previous prime is 22224361. The next prime is 22224431. The reversal of 22224401 is 10442222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18284176 + 3940225 = 4276^2 + 1985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22224401 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22224401.

It is not a weakly prime, because it can be changed into another prime (22224431) 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, 11112200 + 11112201.

It is an arithmetic number, because the mean of its divisors is an integer number (11112201).

Almost surely, 222224401 is an apocalyptic number.

It is an amenable number.

22224401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22224401 is an equidigital number, since it uses as much as digits as its factorization.

22224401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 22224401 is about 4714.2762965274. The cubic root of 22224401 is about 281.1534097287.

Adding to 22224401 its reverse (10442222), we get a palindrome (32666623).

The spelling of 22224401 in words is "twenty-two million, two hundred twenty-four thousand, four hundred one".