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2242414033 is a prime number
BaseRepresentation
bin1000010110101000…
…1000010111010001
312210021111102202121
42011222020113101
514043024222113
61010302414241
7106366130146
oct20552102721
95707442677
102242414033
11a50869942
12526b91381
13299761c12
14173b5c3cd
15d1ce8e8d
hex85a885d1

2242414033 has 2 divisors, whose sum is σ = 2242414034. Its totient is φ = 2242414032.

The previous prime is 2242414021. The next prime is 2242414037. The reversal of 2242414033 is 3304142422.

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., 2115356049 + 127057984 = 45993^2 + 11272^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242414033 - 217 = 2242282961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242413989 and 2242414007.

It is not a weakly prime, because it can be changed into another prime (2242414037) 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, 1121207016 + 1121207017.

It is an arithmetic number, because the mean of its divisors is an integer number (1121207017).

Almost surely, 22242414033 is an apocalyptic number.

It is an amenable number.

2242414033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242414033 is an equidigital number, since it uses as much as digits as its factorization.

2242414033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2242414033 is about 47354.1342756892. The cubic root of 2242414033 is about 1308.8963828290.

Adding to 2242414033 its reverse (3304142422), we get a palindrome (5546556455).

The spelling of 2242414033 in words is "two billion, two hundred forty-two million, four hundred fourteen thousand, thirty-three".