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22020040320 = 273519975743
BaseRepresentation
bin10100100000011111…
…110010011010000000
32002211121120221121220
4110200133302122000
5330044112242240
614041005515040
71406451153165
oct244037623200
962747527556
1022020040320
11937a814233
124326572a80
1320cc04a875
1410cc6ba06c
1588d28b5d0
hex5207f2680

22020040320 has 128 divisors (see below), whose sum is σ = 70236253440. Its totient is φ = 5868048384.

The previous prime is 22020040309. The next prime is 22020040321. The reversal of 22020040320 is 2304002022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22020040320.

It is not an unprimeable number, because it can be changed into a prime (22020040321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3831369 + ... + 3837111.

It is an arithmetic number, because the mean of its divisors is an integer number (548720730).

Almost surely, 222020040320 is an apocalyptic number.

22020040320 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 22020040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35118126720).

22020040320 is an abundant number, since it is smaller than the sum of its proper divisors (48216213120).

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

22020040320 is a wasteful number, since it uses less digits than its factorization.

22020040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 22020040320 its reverse (2304002022), we get a palindrome (24324042342).

The spelling of 22020040320 in words is "twenty-two billion, twenty million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1997 3994 5743 5991 7988 9985 11486 11982 15976 17229 19970 22972 23964 28715 29955 31952 34458 39940 45944 47928 57430 59910 63904 68916 79880 86145 91888 95856 114860 119820 127808 137832 159760 172290 183776 191712 229720 239640 255616 275664 319520 344580 367552 383424 459440 479280 551328 639040 689160 735104 766848 918880 958560 1102656 1278080 1378320 1837760 1917120 2205312 2756640 3675520 3834240 5513280 11026560 11468771 22937542 34406313 45875084 57343855 68812626 91750168 114687710 137625252 172031565 183500336 229375420 275250504 344063130 367000672 458750840 550501008 688126260 734001344 917501680 1101002016 1376252520 1468002688 1835003360 2202004032 2752505040 3670006720 4404008064 5505010080 7340013440 11010020160 22020040320