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2242414021 is a prime number
BaseRepresentation
bin1000010110101000…
…1000010111000101
312210021111102202011
42011222020113011
514043024222041
61010302414221
7106366130131
oct20552102705
95707442664
102242414021
11a50869931
12526b91371
13299761c03
14173b5c3c1
15d1ce8e81
hex85a885c5

2242414021 has 2 divisors, whose sum is σ = 2242414022. Its totient is φ = 2242414020.

The previous prime is 2242413967. The next prime is 2242414033. The reversal of 2242414021 is 1204142422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1612905921 + 629508100 = 40161^2 + 25090^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242414021 - 219 = 2241889733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242413983 and 2242414001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242414051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121207010 + 1121207011.

It is an arithmetic number, because the mean of its divisors is an integer number (1121207011).

Almost surely, 22242414021 is an apocalyptic number.

It is an amenable number.

2242414021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242414021 is an equidigital number, since it uses as much as digits as its factorization.

2242414021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2242414021 is about 47354.1341489843. The cubic root of 2242414021 is about 1308.8963804942.

Adding to 2242414021 its reverse (1204142422), we get a palindrome (3446556443).

The spelling of 2242414021 in words is "two billion, two hundred forty-two million, four hundred fourteen thousand, twenty-one".