Search a number
-
+
22244300401 is a prime number
BaseRepresentation
bin10100101101110111…
…010001011001110001
32010102020120112121211
4110231313101121301
5331024020103101
614115140320121
71415143301521
oct245567213161
963366515554
1022244300401
119485367144
1243896a3041
13213664a33b
1411103b5681
158a2cd8c51
hex52ddd1671

22244300401 has 2 divisors, whose sum is σ = 22244300402. Its totient is φ = 22244300400.

The previous prime is 22244300399. The next prime is 22244300411. The reversal of 22244300401 is 10400344222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14975885376 + 7268415025 = 122376^2 + 85255^2 .

It is a cyclic number.

It is not a de Polignac number, because 22244300401 - 21 = 22244300399 is a prime.

Together with 22244300399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22244300411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11122150200 + 11122150201.

It is an arithmetic number, because the mean of its divisors is an integer number (11122150201).

Almost surely, 222244300401 is an apocalyptic number.

It is an amenable number.

22244300401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22244300401 is an equidigital number, since it uses as much as digits as its factorization.

22244300401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22244300401 its reverse (10400344222), we get a palindrome (32644644623).

The spelling of 22244300401 in words is "twenty-two billion, two hundred forty-four million, three hundred thousand, four hundred one".