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2022430314440 = 2351922917232803
BaseRepresentation
bin11101011011100010001…
…111011000111111001000
321011100020122102212212202
4131123202033120333020
5231113414130030230
64145031444255332
7266054465013554
oct35334217307710
97140218385782
102022430314440
1170a787208038
12287b639a1548
131189395aca93
146dc59846864
153791c2aba45
hex1d6e23d8fc8

2022430314440 has 192 divisors, whose sum is σ = 4972834555200. Its totient is φ = 739273941504.

The previous prime is 2022430314439. The next prime is 2022430314449. The reversal of 2022430314440 is 444130342202.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (2022430314449) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 721522079 + ... + 721524881.

It is an arithmetic number, because the mean of its divisors is an integer number (25900179975).

Almost surely, 22022430314440 is an apocalyptic number.

2022430314440 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 2022430314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486417277600).

2022430314440 is an abundant number, since it is smaller than the sum of its proper divisors (2950404240760).

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

2022430314440 is a wasteful number, since it uses less digits than its factorization.

2022430314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2022430314440 its reverse (444130342202), we get a palindrome (2466560656642).

The spelling of 2022430314440 in words is "two trillion, twenty-two billion, four hundred thirty million, three hundred fourteen thousand, four hundred forty".