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22020343140 = 22354161914461
BaseRepresentation
bin10100100000100000…
…111100010101100100
32002211122011100000110
4110200200330111210
5330044201440030
614041020213020
71406453554065
oct244040742544
962748140013
1022020343140
11937aa007a4
12432669a170
1320cc125653
1410cc75856c
1588d2eb1b0
hex52083c564

22020343140 has 96 divisors (see below), whose sum is σ = 63267200640. Its totient is φ = 5719219200.

The previous prime is 22020343097. The next prime is 22020343157. The reversal of 22020343140 is 4134302022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1515510 + ... + 1529970.

It is an arithmetic number, because the mean of its divisors is an integer number (659033340).

Almost surely, 222020343140 is an apocalyptic number.

22020343140 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 22020343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31633600320).

22020343140 is an abundant number, since it is smaller than the sum of its proper divisors (41246857500).

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

22020343140 is a wasteful number, since it uses less digits than its factorization.

22020343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15133 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22020343140 its reverse (4134302022), we get a palindrome (26154645162).

The spelling of 22020343140 in words is "twenty-two billion, twenty million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 619 820 1230 1238 1857 2460 2476 3095 3714 6190 7428 9285 12380 14461 18570 25379 28922 37140 43383 50758 57844 72305 76137 86766 101516 126895 144610 152274 173532 216915 253790 289220 304548 380685 433830 507580 592901 761370 867660 1185802 1522740 1778703 2371604 2964505 3557406 5929010 7114812 8893515 8951359 11858020 17787030 17902718 26854077 35574060 35805436 44756795 53708154 89513590 107416308 134270385 179027180 268540770 367005719 537081540 734011438 1101017157 1468022876 1835028595 2202034314 3670057190 4404068628 5505085785 7340114380 11010171570 22020343140