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242224343235 = 32576757719891
BaseRepresentation
bin1110000110010110110…
…0100010100011000011
3212011020000211120021200
43201211230202203003
512432033412440420
6303135404152243
723333354642340
oct3414554424303
9764200746250
10242224343235
11937aa366236
123ab40538683
1319ac3177364
14ba1bc657c7
15647a385b90
hex3865b228c3

242224343235 has 96 divisors (see below), whose sum is σ = 487865144832. Its totient is φ = 108883906560.

The previous prime is 242224343219. The next prime is 242224343239. The reversal of 242224343235 is 532343422242.

It is not a de Polignac number, because 242224343235 - 24 = 242224343219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242224343235.

It is not an unprimeable number, because it can be changed into a prime (242224343239) 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 95 ways as a sum of consecutive naturals, for example, 12167640 + ... + 12187530.

It is an arithmetic number, because the mean of its divisors is an integer number (5081928592).

Almost surely, 2242224343235 is an apocalyptic number.

242224343235 is an abundant number, since it is smaller than the sum of its proper divisors (245640801597).

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

242224343235 is a wasteful number, since it uses less digits than its factorization.

242224343235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20553 (or 20550 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

Adding to 242224343235 its reverse (532343422242), we get a palindrome (774567765477).

The spelling of 242224343235 in words is "two hundred forty-two billion, two hundred twenty-four million, three hundred forty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 577 603 1005 1407 1731 2345 2885 3015 4039 4221 5193 7035 8655 12117 19891 20195 21105 25965 36351 38659 59673 60585 99455 115977 139237 179019 181755 193295 270613 298365 347931 417711 579885 696185 811839 895095 1253133 1332697 1353065 1739655 2088555 2435517 3998091 4059195 6265665 6663485 9328879 11477107 11994273 12177585 19990455 27986637 34431321 46644395 57385535 59971365 80339749 83959911 103293963 139933185 172156605 241019247 401698745 419799555 516469815 723057741 768966169 1205096235 2306898507 3615288705 3844830845 5382763183 6920695521 11534492535 16148289549 26913815915 34603477605 48444868647 80741447745 242224343235