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22020122000 = 245353293709
BaseRepresentation
bin10100100000100000…
…000110010110010000
32002211121202002200002
4110200200012112100
5330044122401000
614041011345132
71406451643262
oct244040062620
962747662602
1022020122000
11937a86a638
1243265b21a8
1320cc078ab6
1410cc6dbb32
1588d2a58d5
hex520806590

22020122000 has 160 divisors (see below), whose sum is σ = 54511198560. Its totient is φ = 8600217600.

The previous prime is 22020121969. The next prime is 22020122039. The reversal of 22020122000 is 22102022.

It can be written as a sum of positive squares in 16 ways, for example, as 11638957456 + 10381164544 = 107884^2 + 101888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31057646 + ... + 31058354.

It is an arithmetic number, because the mean of its divisors is an integer number (340694991).

Almost surely, 222020122000 is an apocalyptic number.

22020122000 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 22020122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27255599280).

22020122000 is an abundant number, since it is smaller than the sum of its proper divisors (32491076560).

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

22020122000 is a wasteful number, since it uses less digits than its factorization.

22020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22020122000 its reverse (22102022), we get a palindrome (22042224022).

The spelling of 22020122000 in words is "twenty-two billion, twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 293 400 424 500 530 586 709 848 1000 1060 1172 1325 1418 1465 2000 2120 2344 2650 2836 2930 3545 4240 4688 5300 5672 5860 6625 7090 7325 10600 11344 11720 13250 14180 14650 15529 17725 21200 23440 26500 28360 29300 31058 35450 36625 37577 53000 56720 58600 62116 70900 73250 75154 77645 88625 106000 117200 124232 141800 146500 150308 155290 177250 187885 207737 248464 283600 293000 300616 310580 354500 375770 388225 415474 586000 601232 621160 709000 751540 776450 830948 939425 1038685 1242320 1418000 1503080 1552900 1661896 1878850 1941125 2077370 3006160 3105800 3323792 3757700 3882250 4154740 4697125 5193425 6211600 7515400 7764500 8309480 9394250 10386850 11010061 15030800 15529000 16618960 18788500 20773700 22020122 25967125 31058000 37577000 41547400 44040244 51934250 55050305 75154000 83094800 88080488 103868500 110100610 176160976 207737000 220201220 275251525 415474000 440402440 550503050 880804880 1101006100 1376257625 2202012200 2752515250 4404024400 5505030500 11010061000 22020122000