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2022230438016 = 2731731611071531
BaseRepresentation
bin11101011011010110010…
…100111011000010000000
321011022201201100002222020
4131123112110323002000
5231113011443004031
64144555544241440
7266046520052505
oct35332624730200
97138651302866
102022230438016
1170a6943a9a08
12287b08a70280
13118907069ac9
146dc3b0974ac
1537909979096
hex1d6d653b080

2022230438016 has 512 divisors, whose sum is σ = 6026939965440. Its totient is φ = 597860352000.

The previous prime is 2022230438003. The next prime is 2022230438021. The reversal of 2022230438016 is 6108340322202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1320855171 + ... + 1320856701.

It is an arithmetic number, because the mean of its divisors is an integer number (11771367120).

Almost surely, 22022230438016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022230438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013469982720).

2022230438016 is an abundant number, since it is smaller than the sum of its proper divisors (4004709527424).

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

2022230438016 is a wasteful number, since it uses less digits than its factorization.

2022230438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 2022230438016 in words is "two trillion, twenty-two billion, two hundred thirty million, four hundred thirty-eight thousand, sixteen".