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4228224214188 = 22313291193978283
BaseRepresentation
bin111101100001110101110…
…011010110010010101100
3112222012210012211000121210
4331201311303112102230
51023233400344323223
612554230330554420
7614323223551632
oct75416563262254
915865705730553
104228224214188
1113901a8380717
1258355b898a10
1324894861a260
1410890ba97352
1574ebc1d4893
hex3d875cd64ac

4228224214188 has 96 divisors (see below), whose sum is σ = 10992200889600. Its totient is φ = 1256009013504.

The previous prime is 4228224214183. The next prime is 4228224214199. The reversal of 4228224214188 is 8814124228224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4228224214183) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53972895 + ... + 54051177.

It is an arithmetic number, because the mean of its divisors is an integer number (114502092600).

Almost surely, 24228224214188 is an apocalyptic number.

It is an amenable number.

4228224214188 is an abundant number, since it is smaller than the sum of its proper divisors (6763976675412).

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

4228224214188 is a wasteful number, since it uses less digits than its factorization.

4228224214188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90271 (or 90269 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The spelling of 4228224214188 in words is "four trillion, two hundred twenty-eight billion, two hundred twenty-four million, two hundred fourteen thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 11939 23878 35817 47756 71634 78283 143268 155207 156566 234849 310414 313132 346231 465621 469698 620828 692462 931242 939396 1017679 1038693 1384924 1862484 2035358 2077386 2270207 3053037 4070716 4154772 4501003 4540414 6106074 6810621 9002006 9080828 12212148 13503009 13621242 18004012 27006018 27242484 29512691 54012036 59025382 88538073 118050764 177076146 354152292 934620737 1869241474 2803862211 3738482948 5607724422 11215448844 12150069581 24300139162 27104001373 36450208743 48600278324 54208002746 72900417486 81312004119 108416005492 145800834972 162624008238 325248016476 352352017849 704704035698 1057056053547 1409408071396 2114112107094 4228224214188