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21822094008 = 23351113233413
BaseRepresentation
bin10100010100101100…
…101011101010111000
32002022211010020100000
4110110230223222320
5324142424002013
614005215113000
71401525511221
oct242454535270
962284106300
1021822094008
119289004240
124290212760
13209a032280
1410b02b0248
1587abda973
hex514b2bab8

21822094008 has 384 divisors, whose sum is σ = 75158254080. Its totient is φ = 5836976640.

The previous prime is 21822094003. The next prime is 21822094009. The reversal of 21822094008 is 80049022812.

21822094008 is a `hidden beast` number, since 21 + 8 + 220 + 9 + 400 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21822094001) 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 95 ways as a sum of consecutive naturals, for example, 6392110 + ... + 6395522.

It is an arithmetic number, because the mean of its divisors is an integer number (195724620).

Almost surely, 221822094008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21822094008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37579127040).

21822094008 is an abundant number, since it is smaller than the sum of its proper divisors (53336160072).

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

21822094008 is a wasteful number, since it uses less digits than its factorization.

21822094008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 21822094008 in words is "twenty-one billion, eight hundred twenty-two million, ninety-four thousand, eight".