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22142343214420 = 225112132349196221
BaseRepresentation
bin1010000100011011010101…
…00000000111010101010100
32220101210020222011212021021
411002031222200013111110
510400240004330330140
6115032015124130524
74443505622624122
oct502155240072524
986353228155237
1022142343214420
117067573549700
122597401b36a44
13c48024a02bb0
145679a3616912
15285e8e640b4a
hex14236a807554

22142343214420 has 288 divisors, whose sum is σ = 57455990807040. Its totient is φ = 7106659507200.

The previous prime is 22142343214361. The next prime is 22142343214447. The reversal of 22142343214420 is 2441234324122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3559286910 + ... + 3559293130.

It is an arithmetic number, because the mean of its divisors is an integer number (199499968080).

Almost surely, 222142343214420 is an apocalyptic number.

22142343214420 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 22142343214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28727995403520).

22142343214420 is an abundant number, since it is smaller than the sum of its proper divisors (35313647592620).

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

22142343214420 is a wasteful number, since it uses less digits than its factorization.

22142343214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11207 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 22142343214420 its reverse (2441234324122), we get a palindrome (24583577538542).

The spelling of 22142343214420 in words is "twenty-two trillion, one hundred forty-two billion, three hundred forty-three million, two hundred fourteen thousand, four hundred twenty".