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22413244231422 = 232113726110113421
BaseRepresentation
bin1010001100010011111010…
…11101011110111011111110
32221100200111112020101121100
411012021331131132323332
510414204311010401142
6115400300253113530
74502206041363402
oct506117535367376
987320445211540
1022413244231422
117161449069320
12261ba061888a6
13c6773802ac65
14576b41c53102
1528d047353b4c
hex14627d75eefe

22413244231422 has 288 divisors, whose sum is σ = 55891922250528. Its totient is φ = 6435158400000.

The previous prime is 22413244231387. The next prime is 22413244231439.

22413244231422 is a `hidden beast` number, since 2 + 2 + 41 + 32 + 442 + 3 + 142 + 2 = 666.

22413244231422 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1670006272 + ... + 1670019692.

It is an arithmetic number, because the mean of its divisors is an integer number (194069174481).

Almost surely, 222413244231422 is an apocalyptic number.

22413244231422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22413244231422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27945961125264).

22413244231422 is an abundant number, since it is smaller than the sum of its proper divisors (33478678019106).

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

22413244231422 is a wasteful number, since it uses less digits than its factorization.

22413244231422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13676 (or 13636 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2241324 and 4231422, that added together give a palindrome (6472746).

The spelling of 22413244231422 in words is "twenty-two trillion, four hundred thirteen billion, two hundred forty-four million, two hundred thirty-one thousand, four hundred twenty-two".