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2022481440 = 253357471423
BaseRepresentation
bin111100010001100…
…1001111000100000
312012221122200222000
41320203021320200
513120223401230
6532404444000
7101055544230
oct17043117040
95187580860
102022481440
11948702271
124853a9600
132630190a5
1415286bcc0
15bc853b60
hex788c9e20

2022481440 has 384 divisors, whose sum is σ = 8267857920. Its totient is φ = 452127744.

The previous prime is 2022481397. The next prime is 2022481451. The reversal of 2022481440 is 441842202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420569 + ... + 1421991.

It is an arithmetic number, because the mean of its divisors is an integer number (21530880).

Almost surely, 22022481440 is an apocalyptic number.

2022481440 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 2022481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133928960).

2022481440 is an abundant number, since it is smaller than the sum of its proper divisors (6245376480).

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

2022481440 is a wasteful number, since it uses less digits than its factorization.

2022481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2022481440 is about 44972.0072934264. The cubic root of 2022481440 is about 1264.6242776950.

The spelling of 2022481440 in words is "two billion, twenty-two million, four hundred eighty-one thousand, four hundred forty".