Search a number
-
+
242203545567217 = 1328939376437957
BaseRepresentation
bin110111000100100001101000…
…010010111111111111110001
31011202120102200112022002012201
4313010201220102333333301
5223221230330131122332
62215042434530423201
7102005425434556153
oct6704415022777761
91152512615262181
10242203545567217
117019aa4626a543
12231b8805431b01
13a51b908b3c030
1443b49dd8d0ad3
151d0040b61b5e7
hexdc48684bfff1

242203545567217 has 8 divisors (see below), whose sum is σ = 260834718180456. Its totient is φ = 223572391617792.

The previous prime is 242203545567173. The next prime is 242203545567239. The reversal of 242203545567217 is 712765545302242.

It can be written as a sum of positive squares in 4 ways, for example, as 2898765035776 + 239304780531441 = 1702576^2 + 15469479^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242203545567217 - 27 = 242203545567089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242203545567617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34402203 + ... + 40840159.

It is an arithmetic number, because the mean of its divisors is an integer number (32604339772557).

Almost surely, 2242203545567217 is an apocalyptic number.

It is an amenable number.

242203545567217 is a deficient number, since it is larger than the sum of its proper divisors (18631172613239).

242203545567217 is a wasteful number, since it uses less digits than its factorization.

242203545567217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331907.

The product of its (nonzero) digits is 28224000, while the sum is 55.

The spelling of 242203545567217 in words is "two hundred forty-two trillion, two hundred three billion, five hundred forty-five million, five hundred sixty-seven thousand, two hundred seventeen".

Divisors: 1 13 2893937 6437957 37621181 83693441 18631041966709 242203545567217