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22066561608 = 233721331101461
BaseRepresentation
bin10100100011010001…
…010000001001001000
32002221212010110211120
4110203101100021020
5330143014432413
614045350555240
71410554451600
oct244321201110
962855113746
1022066561608
1193a3aa9383
12433a068b20
132108888760
1410d4949c00
158923ca723
hex523450248

22066561608 has 384 divisors, whose sum is σ = 72201507840. Its totient is φ = 5564160000.

The previous prime is 22066561603. The next prime is 22066561637. The reversal of 22066561608 is 80616566022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 22066561608.

It is not an unprimeable number, because it can be changed into a prime (22066561603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47866498 + ... + 47866958.

It is an arithmetic number, because the mean of its divisors is an integer number (188024760).

Almost surely, 222066561608 is an apocalyptic number.

22066561608 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 22066561608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36100753920).

22066561608 is an abundant number, since it is smaller than the sum of its proper divisors (50134946232).

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

22066561608 is a wasteful number, since it uses less digits than its factorization.

22066561608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 22066561608 in words is "twenty-two billion, sixty-six million, five hundred sixty-one thousand, six hundred eight".