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2022330132032 = 267313735311149
BaseRepresentation
bin11101011011011100010…
…001001110011001000000
321011022222122221002110012
4131123130101032121000
5231113213003211112
64145013505124052
7266052140331560
oct35333421163100
97138878832405
102022330132032
1170a735701561
12287b36329628
13118921904252
146dc4a408da0
15379135bd022
hex1d6dc44e640

2022330132032 has 224 divisors, whose sum is σ = 4876468377600. Its totient is φ = 813700546560.

The previous prime is 2022330132023. The next prime is 2022330132061. The reversal of 2022330132032 is 2302310332202.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2022330131989 and 2022330132007.

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 31 ways as a sum of consecutive naturals, for example, 181385594 + ... + 181396742.

Almost surely, 22022330132032 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 2022330132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438234188800).

2022330132032 is an abundant number, since it is smaller than the sum of its proper divisors (2854138245568).

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

2022330132032 is a wasteful number, since it uses less digits than its factorization.

2022330132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11589 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2022330132032 its reverse (2302310332202), we get a palindrome (4324640464234).

The spelling of 2022330132032 in words is "two trillion, twenty-two billion, three hundred thirty million, one hundred thirty-two thousand, thirty-two".