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242444422233 = 321353233167801
BaseRepresentation
bin1110000111001011010…
…0000100110001011001
3212011210100221201220200
43201302310010301121
512433011233002413
6303213305212413
723341666405146
oct3416264046131
9764710851820
10242444422233
1193902612902
123aba2191109
1319b29941a10
14ba3d1933cd
15648e859573
hex3872d04c59

242444422233 has 48 divisors (see below), whose sum is σ = 385902985104. Its totient is φ = 145752422400.

The previous prime is 242444422229. The next prime is 242444422249. The reversal of 242444422233 is 332224444242.

242444422233 is a `hidden beast` number, since 2 + 424 + 4 + 4 + 4 + 2 + 223 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 77241193929 + 165203228304 = 277923^2 + 406452^2 .

It is not a de Polignac number, because 242444422233 - 22 = 242444422229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242444422133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1360933 + ... + 1528733.

It is an arithmetic number, because the mean of its divisors is an integer number (8039645523).

Almost surely, 2242444422233 is an apocalyptic number.

It is an amenable number.

242444422233 is a deficient number, since it is larger than the sum of its proper divisors (143458562871).

242444422233 is a wasteful number, since it uses less digits than its factorization.

242444422233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168106 (or 168103 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

Adding to 242444422233 its reverse (332224444242), we get a palindrome (574668866475).

The spelling of 242444422233 in words is "two hundred forty-two billion, four hundred forty-four million, four hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 53 117 159 233 477 689 699 2067 2097 3029 6201 9087 12349 27261 37047 111141 160537 167801 481611 503403 1444833 1510209 2181413 6544239 8893453 19632717 26680359 39097633 80041077 115614889 117292899 346844667 351878697 508269229 1040534001 1524807687 2072174549 4574423061 6216523647 18649570941 26938269137 80814807411 242444422233