Search a number
-
+
22010223320000 = 2654896182647
BaseRepresentation
bin1010000000100101001111…
…00010101101101111000000
32212221011020022021211012022
411000102213202231233000
510341103414132220000
6114451205040221012
74431120565223426
oct500224742555700
985834208254168
1022010223320000
117016535293513
12257588b30a768
13c3872a896186
1456142c7a3116
1528280a635585
hex1404a78adbc0

22010223320000 has 140 divisors (see below), whose sum is σ = 55191447645840. Its totient is φ = 8705165568000.

The previous prime is 22010223319949. The next prime is 22010223320021. The reversal of 22010223320000 is 2332201022.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 468677 + ... + 6651323.

Almost surely, 222010223320000 is an apocalyptic number.

22010223320000 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 22010223320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595723822920).

22010223320000 is an abundant number, since it is smaller than the sum of its proper divisors (33181224325840).

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

22010223320000 is an frugal number, since it uses more digits than its factorization.

22010223320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6182768 (or 6182743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22010223320000 its reverse (2332201022), we get a palindrome (22012555521022).

The spelling of 22010223320000 in words is "twenty-two trillion, ten billion, two hundred twenty-three million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 160 178 200 250 320 356 400 445 500 625 712 800 890 1000 1250 1424 1600 1780 2000 2225 2500 2848 3560 4000 4450 5000 5696 7120 8000 8900 10000 11125 14240 17800 20000 22250 28480 35600 40000 44500 55625 71200 89000 111250 142400 178000 222500 356000 445000 712000 890000 1780000 3560000 6182647 12365294 24730588 30913235 49461176 61826470 98922352 123652940 154566175 197844704 247305880 309132350 395689408 494611760 550255583 618264700 772830875 989223520 1100511166 1236529400 1545661750 1978447040 2201022332 2473058800 2751277915 3091323500 3864154375 4402044664 4946117600 5502555830 6182647000 7728308750 8804089328 9892235200 11005111660 12365294000 13756389575 15456617500 17608178656 22010223320 24730588000 27512779150 30913235000 35216357312 44020446640 49461176000 55025558300 61826470000 68781947875 88040893280 110051116600 123652940000 137563895750 176081786560 220102233200 247305880000 275127791500 343909739375 440204466400 550255583000 687819478750 880408932800 1100511166000 1375638957500 2201022332000 2751277915000 4402044664000 5502555830000 11005111660000 22010223320000