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2022013243440 = 24325231069114221
BaseRepresentation
bin11101011011001001011…
…000011001000000110000
321011022011120122111000200
4131123021120121000300
5231112040342242230
64144522225115200
7266041241662251
oct35331130310060
97138146574020
102022013243440
1170a592842463
12287a68188b00
131188a10722c8
146dc1a2bab28
15378e5875160
hex1d6c9619030

2022013243440 has 240 divisors, whose sum is σ = 7092528281280. Its totient is φ = 515272919040.

The previous prime is 2022013243387. The next prime is 2022013243477. The reversal of 2022013243440 is 443423102202.

2022013243440 is a `hidden beast` number, since 2 + 0 + 220 + 1 + 3 + 2 + 434 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17645530 + ... + 17759750.

It is an arithmetic number, because the mean of its divisors is an integer number (29552201172).

Almost surely, 22022013243440 is an apocalyptic number.

2022013243440 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 2022013243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546264140640).

2022013243440 is an abundant number, since it is smaller than the sum of its proper divisors (5070515037840).

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

2022013243440 is a wasteful number, since it uses less digits than its factorization.

2022013243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115332 (or 115323 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2022013243440 its reverse (443423102202), we get a palindrome (2465436345642).

The spelling of 2022013243440 in words is "two trillion, twenty-two billion, thirteen million, two hundred forty-three thousand, four hundred forty".