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2022112220000 = 2554920910979
BaseRepresentation
bin11101011011001111010…
…001111101001101100000
321011022102110220000100012
4131123033101331031200
5231112241212020000
64144540122344052
7266043553162535
oct35331721751540
97138373800305
102022112220000
1170a6336a4a74
12287a9535b028
131188b8718012
146dc294c2d8c
15378ee3c6735
hex1d6cf47d360

2022112220000 has 120 divisors (see below), whose sum is σ = 4975692737400. Its totient is φ = 808683392000.

The previous prime is 2022112219979. The next prime is 2022112220041. The reversal of 2022112220000 is 222112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184174511 + ... + 184185489.

It is an arithmetic number, because the mean of its divisors is an integer number (41464106145).

Almost surely, 22022112220000 is an apocalyptic number.

2022112220000 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 2022112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487846368700).

2022112220000 is an abundant number, since it is smaller than the sum of its proper divisors (2953580517400).

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

2022112220000 is an equidigital number, since it uses as much as digits as its factorization.

2022112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20218 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2022112220000 its reverse (222112202), we get a palindrome (2022334332202).

The spelling of 2022112220000 in words is "two trillion, twenty-two billion, one hundred twelve million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 9209 10000 10979 18418 20000 21958 36836 43916 46045 54895 73672 87832 92090 109790 147344 175664 184180 219580 230225 274475 294688 351328 368360 439160 460450 548950 736720 878320 920900 1097900 1151125 1372375 1473440 1756640 1841800 2195800 2302250 2744750 3683600 4391600 4604500 5489500 5755625 6861875 7367200 8783200 9209000 10979000 11511250 13723750 18418000 21958000 23022500 27447500 36836000 43916000 46045000 54895000 92090000 101105611 109790000 184180000 202211222 219580000 404422444 505528055 808844888 1011056110 1617689776 2022112220 2527640275 3235379552 4044224440 5055280550 8088448880 10110561100 12638201375 16176897760 20221122200 25276402750 40442244400 50552805500 63191006875 80884488800 101105611000 126382013750 202211222000 252764027500 404422444000 505528055000 1011056110000 2022112220000