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214220020022412 = 223374123350505341
BaseRepresentation
bin110000101101010011111100…
…001100100111110010001100
31001002111020022112001012122220
4300231103330030213302030
5211034240100111204122
62035335152453135340
763056612540220435
oct6055237414476214
91032436275035586
10214220020022412
11622912226642a8
122003933732a550
13926bb270ca2b1
143ac8438d8c48c
1519b754acd525c
hexc2d4fc327c8c

214220020022412 has 96 divisors (see below), whose sum is σ = 528133957251264. Its totient is φ = 67491295948800.

The previous prime is 214220020022389. The next prime is 214220020022413.

214220020022412 is nontrivially palindromic in base 10.

214220020022412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214220020022413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21011139 + ... + 29494202.

It is an arithmetic number, because the mean of its divisors is an integer number (5501395388034).

Almost surely, 2214220020022412 is an apocalyptic number.

It is an amenable number.

214220020022412 is an abundant number, since it is smaller than the sum of its proper divisors (313913937228852).

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

214220020022412 is a wasteful number, since it uses less digits than its factorization.

214220020022412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50505659 (or 50505657 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 214220020022412 in words is "two hundred fourteen trillion, two hundred twenty billion, twenty million, twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 148 164 222 233 246 444 466 492 699 932 1398 1517 2796 3034 4551 6068 8621 9102 9553 17242 18204 19106 25863 28659 34484 38212 51726 57318 103452 114636 353461 706922 1060383 1413844 2120766 4241532 50505341 101010682 151516023 202021364 303032046 606064092 1868697617 2070718981 3737395234 4141437962 5606092851 6212156943 7474790468 8282875924 11212185702 11767744453 12424313886 22424371404 23535488906 24848627772 35303233359 47070977812 70606466718 76616602297 141212933436 153233204594 229849806891 306466409188 435406544761 459699613782 482477522573 870813089522 919399227564 964955045146 1306219634283 1447432567719 1741626179044 1929910090292 2612439268566 2894865135438 5224878537132 5789730270876 17851668335201 35703336670402 53555005005603 71406673340804 107110010011206 214220020022412