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242134222332 = 22323990188607
BaseRepresentation
bin1110000110000001010…
…0110000010111111100
3212010222202020221122110
43201200110300113330
512431342330103312
6303122424414020
723331211634232
oct3414024602774
9763882227573
10242134222332
1193763502052
123ab16317310
1319aaa5b2392
14ba0dcc6952
1564724d343c
hex38605305fc

242134222332 has 48 divisors (see below), whose sum is σ = 589610391552. Its totient is φ = 77193547200.

The previous prime is 242134222313. The next prime is 242134222399. The reversal of 242134222332 is 233222431242.

It is a super-3 number, since 3×2421342223323 (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 242134222332.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2688373 + ... + 2776979.

It is an arithmetic number, because the mean of its divisors is an integer number (12283549824).

Almost surely, 2242134222332 is an apocalyptic number.

It is an amenable number.

242134222332 is an abundant number, since it is smaller than the sum of its proper divisors (347476169220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242134222332 is a wasteful number, since it uses less digits than its factorization.

242134222332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98538 (or 98536 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 242134222332 its reverse (233222431242), we get a palindrome (475356653574).

The spelling of 242134222332 in words is "two hundred forty-two billion, one hundred thirty-four million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 9901 19802 29703 39604 59406 88607 118812 177214 227723 265821 354428 455446 531642 683169 910892 1063284 1366338 2037961 2732676 4075922 6113883 8151844 12227766 24455532 877297907 1754595814 2631893721 3509191628 5263787442 10527574884 20177851861 40355703722 60533555583 80711407444 121067111166 242134222332