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242222475613002 = 2323371011656728351
BaseRepresentation
bin110111000100110011010000…
…100111011001001101001010
31011202122020112210112001012120
4313010303100213121031022
5223222033112224104002
62215055245155152110
7102006665515366053
oct6704632047311512
91152566483461176
10242222475613002
11701a7a7a836085
1223200408ba5636
13a520634955a61
1443b58b7a5972a
151d00b68488cbc
hexdc4cd09d934a

242222475613002 has 128 divisors (see below), whose sum is σ = 524360588525568. Its totient is φ = 74391942240000.

The previous prime is 242222475612977. The next prime is 242222475613033. The reversal of 242222475613002 is 200316574222242.

It is a happy number.

It is a super-3 number, since 3×2422224756130023 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8543687127 + ... + 8543715477.

It is an arithmetic number, because the mean of its divisors is an integer number (4096567097856).

Almost surely, 2242222475613002 is an apocalyptic number.

242222475613002 is an abundant number, since it is smaller than the sum of its proper divisors (282138112912566).

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

242222475613002 is a wasteful number, since it uses less digits than its factorization.

242222475613002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45084.

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 242222475613002 in words is "two hundred forty-two trillion, two hundred twenty-two billion, four hundred seventy-five million, six hundred thirteen thousand, two".

Divisors: 1 2 3 6 23 37 46 69 74 101 111 138 202 222 303 606 851 1702 2323 2553 3737 4646 5106 6969 7474 11211 13938 16567 22422 28351 33134 49701 56702 85053 85951 99402 170106 171902 257853 381041 515706 612979 652073 762082 1048987 1143123 1225958 1304146 1673267 1838937 1956219 2097974 2286246 2863451 3146961 3346534 3677874 3912438 5019801 5726902 6293922 8590353 10039602 14098517 17180706 24126701 28197034 38485141 42295551 48253402 61910879 65859373 72380103 76970282 84591102 105947687 115455423 123821758 131718746 144760206 185732637 197578119 211895374 230910846 317843061 371465274 395156238 469691017 635686122 939382034 1409073051 1423950217 2436796801 2818146102 2847900434 4271850651 4873593602 7310390403 8543701302 10802893391 14620780806 17378567629 21605786782 32408680173 34757135258 47438792717 52135702887 64817360346 94877585434 104271405774 142316378151 284632756302 399707055467 799414110934 1091092232491 1199121166401 1755235330529 2182184464982 2398242332802 3273276697473 3510470661058 5265705991587 6546553394946 10531411983174 40370412602167 80740825204334 121111237806501 242222475613002