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22122144143424 = 26321317677932833
BaseRepresentation
bin1010000011110101101101…
…00010110001100001000000
32220022212010021001201221200
411001322312202301201000
510344422122400042144
6115014434524021200
74442162232432243
oct501726642614100
986285107051850
1022122144143424
117059a487116a6
122593505391800
13c46156007a90
14566a08b1125a
152856ab1a0c69
hex141eb68b1840

22122144143424 has 672 divisors, whose sum is σ = 74313943441920. Its totient is φ = 6230721429504.

The previous prime is 22122144143381. The next prime is 22122144143453. The reversal of 22122144143424 is 42434144122122.

22122144143424 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 214 + 4 + 1 + 434 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 673761312 + ... + 673794144.

It is an arithmetic number, because the mean of its divisors is an integer number (110586225360).

Almost surely, 222122144143424 is an apocalyptic number.

22122144143424 is a gapful number since it is divisible by the number (24) 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 22122144143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156971720960).

22122144143424 is an abundant number, since it is smaller than the sum of its proper divisors (52191799298496).

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

22122144143424 is a wasteful number, since it uses less digits than its factorization.

22122144143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33027 (or 33014 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 22122144143424 its reverse (42434144122122), we get a palindrome (64556288265546).

The spelling of 22122144143424 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred forty-four million, one hundred forty-three thousand, four hundred twenty-four".