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22221042401 is a prime number
BaseRepresentation
bin10100101100011110…
…100011001011100001
32010100121210220122102
4110230132203023201
5331002041324101
614112550020145
71414441513115
oct245436431341
963317726572
1022221042401
119473221058
124381947655
132131895ccc
14110b27d745
158a0c4286b
hex52c7a32e1

22221042401 has 2 divisors, whose sum is σ = 22221042402. Its totient is φ = 22221042400.

The previous prime is 22221042379. The next prime is 22221042419. The reversal of 22221042401 is 10424012222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13653688801 + 8567353600 = 116849^2 + 92560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22221042401 is a prime.

It is not a weakly prime, because it can be changed into another prime (22221042301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11110521200 + 11110521201.

It is an arithmetic number, because the mean of its divisors is an integer number (11110521201).

Almost surely, 222221042401 is an apocalyptic number.

It is an amenable number.

22221042401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221042401 is an equidigital number, since it uses as much as digits as its factorization.

22221042401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22221042401 its reverse (10424012222), we get a palindrome (32645054623).

The spelling of 22221042401 in words is "twenty-two billion, two hundred twenty-one million, forty-two thousand, four hundred one".