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2242333033 is a prime number
BaseRepresentation
bin1000010110100111…
…0100100101101001
312210021100022122121
42011221310211221
514043014124113
61010300551241
7106365342043
oct20551644551
95707308577
102242333033
11a50813aa6
12526b52521
132997340a5
14173b3aa93
15d1ccee8d
hex85a74969

2242333033 has 2 divisors, whose sum is σ = 2242333034. Its totient is φ = 2242333032.

The previous prime is 2242333021. The next prime is 2242333039. The reversal of 2242333033 is 3303332422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1724907024 + 517426009 = 41532^2 + 22747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2242333033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2242332989 and 2242333007.

It is not a weakly prime, because it can be changed into another prime (2242333039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121166516 + 1121166517.

It is an arithmetic number, because the mean of its divisors is an integer number (1121166517).

Almost surely, 22242333033 is an apocalyptic number.

It is an amenable number.

2242333033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242333033 is an equidigital number, since it uses as much as digits as its factorization.

2242333033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 25.

The square root of 2242333033 is about 47353.2790100115. The cubic root of 2242333033 is about 1308.8806227476.

Adding to 2242333033 its reverse (3303332422), we get a palindrome (5545665455).

The spelling of 2242333033 in words is "two billion, two hundred forty-two million, three hundred thirty-three thousand, thirty-three".