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22010322000 = 2435319193073
BaseRepresentation
bin10100011111111010…
…101101110001010000
32002210221022012121010
4110133322231301100
5330034120301000
614040021330520
71406302435662
oct243772556120
962727265533
1022010322000
119375286767
124323266a40
1320ca027294
1410cb2aa532
1588c4bbd50
hex51feadc50

22010322000 has 160 divisors (see below), whose sum is σ = 74696469120. Its totient is φ = 5560473600.

The previous prime is 22010321987. The next prime is 22010322007. The reversal of 22010322000 is 22301022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010322007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17464 + ... + 210536.

It is an arithmetic number, because the mean of its divisors is an integer number (466852932).

Almost surely, 222010322000 is an apocalyptic number.

22010322000 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 22010322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37348234560).

22010322000 is an abundant number, since it is smaller than the sum of its proper divisors (52686147120).

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

22010322000 is a wasteful number, since it uses less digits than its factorization.

22010322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193118 (or 193102 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22010322000 its reverse (22301022), we get a palindrome (22032623022).

The spelling of 22010322000 in words is "twenty-two billion, ten million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 193073 386146 579219 772292 965365 1158438 1544584 1930730 2316876 2896095 3089168 3668387 3861460 4633752 4826825 5792190 7336774 7722920 9267504 9653650 11005161 11584380 14480475 14673548 15445840 18341935 19307300 22010322 23168760 24134125 28960950 29347096 36683870 38614600 44020644 46337520 48268250 55025805 57921900 58694192 72402375 73367740 77229200 88041288 91709675 96536500 110051610 115843800 144804750 146735480 176082576 183419350 193073000 220103220 231687600 275129025 289609500 293470960 366838700 386146000 440206440 458548375 550258050 579219000 733677400 880412880 917096750 1100516100 1158438000 1375645125 1467354800 1834193500 2201032200 2751290250 3668387000 4402064400 5502580500 7336774000 11005161000 22010322000