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22012220000000 = 28571100611
BaseRepresentation
bin1010000000101000111101…
…00011011100011100000000
32212221100101110101200020102
411000110132203130130000
510341122011310000000
6114452135124101532
74431221221560056
oct500243643343400
985840343350212
1022012220000000
11701736a37277a
122576147b348a8
13c3898844a329
1456157ba361d6
152828c5a8e3d5
hex14051e8dc700

22012220000000 has 144 divisors (see below), whose sum is σ = 54922977756192. Its totient is φ = 8804880000000.

The previous prime is 22012219999997. The next prime is 22012220000009. The reversal of 22012220000000 is 2221022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012220000009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19449695 + ... + 20550305.

Almost surely, 222012220000000 is an apocalyptic number.

22012220000000 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 22012220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27461488878096).

22012220000000 is an abundant number, since it is smaller than the sum of its proper divisors (32910757756192).

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

22012220000000 is an frugal number, since it uses more digits than its factorization.

22012220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100662 (or 1100618 counting only the distinct ones).

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

Adding to 22012220000000 its reverse (2221022), we get a palindrome (22012222221022).

The spelling of 22012220000000 in words is "twenty-two trillion, twelve billion, two hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 125000 156250 160000 200000 250000 312500 400000 500000 625000 800000 1000000 1100611 1250000 2000000 2201222 2500000 4000000 4402444 5000000 5503055 8804888 10000000 11006110 17609776 20000000 22012220 27515275 35219552 44024440 55030550 70439104 88048880 110061100 137576375 140878208 176097760 220122200 275152750 281756416 352195520 440244400 550305500 687881875 704391040 880488800 1100611000 1375763750 1408782080 1760977600 2201222000 2751527500 3439409375 3521955200 4402444000 5503055000 6878818750 7043910400 8804888000 11006110000 13757637500 17197046875 17609776000 22012220000 27515275000 34394093750 35219552000 44024440000 55030550000 68788187500 85985234375 88048880000 110061100000 137576375000 171970468750 176097760000 220122200000 275152750000 343940937500 440244400000 550305500000 687881875000 880488800000 1100611000000 1375763750000 2201222000000 2751527500000 4402444000000 5503055000000 11006110000000 22012220000000