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22989323448 = 23347131721971
BaseRepresentation
bin10101011010010001…
…010011110010111000
32012100011110122010000
4111122101103302320
5334040231322243
614321112553000
71442461011420
oct253221236270
965304418100
1022989323448
119827967a73
1245570b2760
132224ac1690
14118130d480
158e84015d3
hex55a453cb8

22989323448 has 960 divisors, whose sum is σ = 89866022400. Its totient is φ = 5329981440.

The previous prime is 22989323443. The next prime is 22989323471. The reversal of 22989323448 is 84432398922.

22989323448 is a `hidden beast` number, since 2 + 2 + 98 + 93 + 23 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (5971968) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 22989323394 and 22989323403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22989323443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 323793253 + ... + 323793323.

It is an arithmetic number, because the mean of its divisors is an integer number (93610440).

Almost surely, 222989323448 is an apocalyptic number.

22989323448 is a gapful number since it is divisible by the number (28) 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 22989323448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44933011200).

22989323448 is an abundant number, since it is smaller than the sum of its proper divisors (66876698952).

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

22989323448 is a wasteful number, since it uses less digits than its factorization.

22989323448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 22989323448 in words is "twenty-two billion, nine hundred eighty-nine million, three hundred twenty-three thousand, four hundred forty-eight".