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2022245121540 = 2235738281125777
BaseRepresentation
bin11101011011010111001…
…100111011111000000100
321011022202201222002222110
4131123113030323320010
5231113024222342130
64145001231101020
7266050055626560
oct35332714737004
97138681862873
102022245121540
1170a6a1718956
12287b11971770
1311890a10b397
146dc3cdda6a0
153790adc9ab0
hex1d6d733be04

2022245121540 has 96 divisors (see below), whose sum is σ = 6471404884224. Its totient is φ = 462211706880.

The previous prime is 2022245121503. The next prime is 2022245121599. The reversal of 2022245121540 is 451215422202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2022245121498 and 2022245121507.

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 31 ways as a sum of consecutive naturals, for example, 16015132 + ... + 16140908.

It is an arithmetic number, because the mean of its divisors is an integer number (67410467544).

Almost surely, 22022245121540 is an apocalyptic number.

2022245121540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022245121540 is an abundant number, since it is smaller than the sum of its proper divisors (4449159762684).

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

2022245121540 is a wasteful number, since it uses less digits than its factorization.

2022245121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164077 (or 164075 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 2022245121540 in words is "two trillion, twenty-two billion, two hundred forty-five million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 38281 76562 114843 125777 153124 191405 229686 251554 267967 377331 382810 459372 503108 535934 574215 628885 754662 765620 803901 880439 1071868 1148430 1257770 1339835 1509324 1607802 1760878 1886655 2296860 2515540 2641317 2679670 3215604 3521756 3773310 4019505 4402195 5282634 5359340 7546620 8039010 8804390 10565268 13206585 16078020 17608780 26413170 52826340 4814869337 9629738674 14444608011 19259477348 24074346685 28889216022 33704085359 48148693370 57778432044 67408170718 72223040055 96297386740 101112256077 134816341436 144446080110 168520426795 202224512154 288892160220 337040853590 404449024308 505561280385 674081707180 1011122560770 2022245121540