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22270022820 = 22335122333721
BaseRepresentation
bin10100101111011001…
…011001010010100100
32010111000222101011000
4110233121121102210
5331102111212240
614121455513300
71415605033143
oct245731312244
963430871130
1022270022820
119498935841
124396228830
13213ba852c6
14111398d75a
158a51ba430
hex52f6594a4

22270022820 has 96 divisors (see below), whose sum is σ = 69343223040. Its totient is φ = 5933640960.

The previous prime is 22270022813. The next prime is 22270022851. The reversal of 22270022820 is 2822007222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643560 + ... + 677280.

It is an arithmetic number, because the mean of its divisors is an integer number (722325240).

Almost surely, 222270022820 is an apocalyptic number.

22270022820 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 22270022820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34671611520).

22270022820 is an abundant number, since it is smaller than the sum of its proper divisors (47073200220).

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

22270022820 is a wasteful number, since it uses less digits than its factorization.

22270022820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34962 (or 34954 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 22270022820 in words is "twenty-two billion, two hundred seventy million, twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1223 2446 3669 4892 6115 7338 11007 12230 14676 18345 22014 24460 33021 33721 36690 44028 55035 66042 67442 73380 101163 110070 132084 134884 165105 168605 202326 220140 303489 330210 337210 404652 505815 606978 660420 674420 910467 1011630 1213956 1517445 1820934 2023260 3034890 3641868 4552335 6069780 9104670 18209340 41240783 82481566 123722349 164963132 206203915 247444698 371167047 412407830 494889396 618611745 742334094 824815660 1113501141 1237223490 1484668188 1855835235 2227002282 2474446980 3711670470 4454004564 5567505705 7423340940 11135011410 22270022820