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22020221002000 = 245313846931577
BaseRepresentation
bin1010000000110111110110…
…11100110110000100010000
32212222010001001200200121211
411000123323130312010100
510341234403034031000
6114455541101225504
74431623414142364
oct500337334660420
985863031620554
1022020221002000
11701a7a5764a21
1225777bb562294
13c39661c51540
14561ada4c12a4
15282be31d67ba
hex1406fb736110

22020221002000 has 80 divisors (see below), whose sum is σ = 57340655556912. Its totient is φ = 8130543129600.

The previous prime is 22020221001923. The next prime is 22020221002027. The reversal of 22020221002000 is 20012202022.

It can be written as a sum of positive squares in 8 ways, for example, as 3705963807744 + 18314257194256 = 1925088^2 + 4279516^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423439789 + ... + 423491788.

Almost surely, 222020221002000 is an apocalyptic number.

22020221002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020221002000 is an abundant number, since it is smaller than the sum of its proper divisors (35320434554912).

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

22020221002000 is a wasteful number, since it uses less digits than its factorization.

22020221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846931613 (or 846931597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22020221002000 its reverse (20012202022), we get a palindrome (22040233204022).

The spelling of 22020221002000 in words is "twenty-two trillion, twenty billion, two hundred twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 846931577 1693863154 3387726308 4234657885 6775452616 8469315770 11010110501 13550905232 16938631540 21173289425 22020221002 33877263080 42346578850 44040442004 55050552505 67754526160 84693157700 88080884008 105866447125 110101105010 169386315400 176161768016 211732894250 220202210020 275252762525 338772630800 423465788500 440404420040 550505525050 846931577000 880808840080 1101011050100 1376263812625 1693863154000 2202022100200 2752527625250 4404044200400 5505055250500 11010110501000 22020221002000