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2022424404000 = 25353711131011667
BaseRepresentation
bin11101011011100001111…
…000110110000000100000
321011100020020022121021120
4131123201320312000200
5231113411121412000
64145031113452240
7266054363536140
oct35334170660040
97140206277246
102022424404000
1170a783940480
12287b61a11080
131189382c0790
146dc58b48920
153791b9e06a0
hex1d6e1e36020

2022424404000 has 1536 divisors, whose sum is σ = 8989191364608. Its totient is φ = 383846400000.

The previous prime is 2022424403981. The next prime is 2022424404001. The reversal of 2022424404000 is 4044242202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2022424404001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1213211167 + ... + 1213212833.

It is an arithmetic number, because the mean of its divisors is an integer number (5852338128).

Almost surely, 22022424404000 is an apocalyptic number.

2022424404000 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 2022424404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494595682304).

2022424404000 is an abundant number, since it is smaller than the sum of its proper divisors (6966766960608).

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

2022424404000 is a wasteful number, since it uses less digits than its factorization.

2022424404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2022424404000 its reverse (4044242202), we get a palindrome (2026468646202).

The spelling of 2022424404000 in words is "two trillion, twenty-two billion, four hundred twenty-four million, four hundred four thousand".