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2242004033 is a prime number
BaseRepresentation
bin1000010110100010…
…0100010001000001
312210020201121100102
42011220210101001
514042423112113
61010245532145
7106362501623
oct20550442101
95706647312
102242004033
11a506098a5
12526a14055
1329964a409
14173a92c13
15d1c67758
hex85a24441

2242004033 has 2 divisors, whose sum is σ = 2242004034. Its totient is φ = 2242004032.

The previous prime is 2242004021. The next prime is 2242004057. The reversal of 2242004033 is 3304002422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1729977649 + 512026384 = 41593^2 + 22628^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242004033 - 212 = 2241999937 is a prime.

It is a super-3 number, since 3×22420040333 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2242003996 and 2242004014.

It is not a weakly prime, because it can be changed into another prime (2242006033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121002016 + 1121002017.

It is an arithmetic number, because the mean of its divisors is an integer number (1121002017).

Almost surely, 22242004033 is an apocalyptic number.

It is an amenable number.

2242004033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242004033 is an equidigital number, since it uses as much as digits as its factorization.

2242004033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2242004033 is about 47349.8049943186. The cubic root of 2242004033 is about 1308.8166056753.

Adding to 2242004033 its reverse (3304002422), we get a palindrome (5546006455).

The spelling of 2242004033 in words is "two billion, two hundred forty-two million, four thousand, thirty-three".