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2242267333 is a prime number
BaseRepresentation
bin1000010110100110…
…0100100011000101
312210021012222112021
42011221210203011
514043010023313
61010255323141
7106364646355
oct20551444305
95707188467
102242267333
11a507796a9
12526b204b1
13299710207
14173b20b65
15d1cba78d
hex85a648c5

2242267333 has 2 divisors, whose sum is σ = 2242267334. Its totient is φ = 2242267332.

The previous prime is 2242267271. The next prime is 2242267351. The reversal of 2242267333 is 3337622422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2237100804 + 5166529 = 47298^2 + 2273^2 .

It is a cyclic number.

It is not a de Polignac number, because 2242267333 - 29 = 2242266821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2242267373) 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, 1121133666 + 1121133667.

It is an arithmetic number, because the mean of its divisors is an integer number (1121133667).

Almost surely, 22242267333 is an apocalyptic number.

It is an amenable number.

2242267333 is a deficient number, since it is larger than the sum of its proper divisors (1).

2242267333 is an equidigital number, since it uses as much as digits as its factorization.

2242267333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 34.

The square root of 2242267333 is about 47352.5852831712. The cubic root of 2242267333 is about 1308.8678392916.

Adding to 2242267333 its reverse (3337622422), we get a palindrome (5579889755).

The spelling of 2242267333 in words is "two billion, two hundred forty-two million, two hundred sixty-seven thousand, three hundred thirty-three".