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2020222202000 = 245334728389
BaseRepresentation
bin11101011001011110101…
…000000111000010010000
321011010112202111011001112
4131121132220013002100
5231044403340431000
64144024404552452
7265645663246142
oct35313650070220
97133482434045
102020222202000
11709853847522
122876483b2728
13118676c9aa82
146daca496c92
153783d4db235
hex1d65ea07090

2020222202000 has 120 divisors (see below), whose sum is σ = 4899599348280. Its totient is φ = 805664044800.

The previous prime is 2020222201967. The next prime is 2020222202017. The reversal of 2020222202000 is 2022220202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94400656 + 2020127801344 = 9716^2 + 1421312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240813806 + ... + 240822194.

It is an arithmetic number, because the mean of its divisors is an integer number (40829994569).

Almost surely, 22020222202000 is an apocalyptic number.

2020222202000 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 2020222202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449799674140).

2020222202000 is an abundant number, since it is smaller than the sum of its proper divisors (2879377146280).

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

2020222202000 is an frugal number, since it uses more digits than its factorization.

2020222202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9106 (or 8743 counting only the distinct ones).

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

Adding to 2020222202000 its reverse (2022220202), we get a palindrome (2022244422202).

It can be divided in two parts, 2020222 and 202000, that added together give a palindrome (2222222).

The spelling of 2020222202000 in words is "two trillion, twenty billion, two hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 347 400 500 694 1000 1388 1735 2000 2776 3470 5552 6940 8389 8675 13880 16778 17350 27760 33556 34700 41945 43375 67112 69400 83890 86750 120409 134224 138800 167780 173500 209725 240818 335560 347000 419450 481636 602045 671120 694000 838900 963272 1048625 1204090 1677800 1926544 2097250 2408180 2910983 3010225 3355600 4194500 4816360 5821966 6020450 8389000 9632720 11643932 12040900 14554915 15051125 16778000 23287864 24081800 29109830 30102250 46575728 48163600 58219660 60204500 72774575 116439320 120409000 145549150 232878640 240818000 291098300 363872875 582196600 727745750 1010111101 1164393200 1455491500 2020222202 2910983000 4040444404 5050555505 5821966000 8080888808 10101111010 16161777616 20202222020 25252777525 40404444040 50505555050 80808888080 101011110100 126263887625 202022220200 252527775250 404044440400 505055550500 1010111101000 2020222202000