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2022202022000 = 245343179131363
BaseRepresentation
bin11101011011010100101…
…000100001100001110000
321011022122201212102112012
4131123110220201201300
5231112432204201000
64144553051222052
7266046023402126
oct35332450414160
97138581772465
102022202022000
1170a67a3605a6
12287abb447928
131189011caab4
146dc373bb916
1537907214735
hex1d6d4a21870

2022202022000 has 160 divisors (see below), whose sum is σ = 5031388327680. Its totient is φ = 785649849600.

The previous prime is 2022202021997. The next prime is 2022202022033. The reversal of 2022202022000 is 2202022202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15328319 + ... + 15459681.

It is an arithmetic number, because the mean of its divisors is an integer number (31446177048).

Almost surely, 22022202022000 is an apocalyptic number.

2022202022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515694163840).

2022202022000 is an abundant number, since it is smaller than the sum of its proper divisors (3009186305680).

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

2022202022000 is a wasteful number, since it uses less digits than its factorization.

2022202022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131608 (or 131592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2022202022000 its reverse (2202022202), we get a palindrome (2024404044202).

It can be divided in two parts, 202220202 and 2000, that added together give a palindrome (202222202).

The spelling of 2022202022000 in words is "two trillion, twenty-two billion, two hundred two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 179 200 215 250 344 358 400 430 500 688 716 860 895 1000 1075 1432 1720 1790 2000 2150 2864 3440 3580 4300 4475 5375 7160 7697 8600 8950 10750 14320 15394 17200 17900 21500 22375 30788 35800 38485 43000 44750 61576 71600 76970 86000 89500 123152 131363 153940 179000 192425 262726 307880 358000 384850 525452 615760 656815 769700 962125 1050904 1313630 1539400 1924250 2101808 2627260 3078800 3284075 3848500 5254520 5648609 6568150 7697000 10509040 11297218 13136300 15394000 16420375 22594436 23513977 26272600 28243045 32840750 45188872 47027954 52545200 56486090 65681500 90377744 94055908 112972180 117569885 131363000 141215225 188111816 225944360 235139770 262726000 282430450 376223632 451888720 470279540 564860900 587849425 706076125 940559080 1011101011 1129721800 1175698850 1412152250 1881118160 2022202022 2259443600 2351397700 2824304500 2939247125 4044404044 4702795400 5055505055 5648609000 5878494250 8088808088 9405590800 10111010110 11297218000 11756988500 16177616176 20222020220 23513977000 25277525275 40444040440 47027954000 50555050550 80888080880 101110101100 126387626375 202220202200 252775252750 404440404400 505550505500 1011101011000 2022202022000