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22011320160 = 2533523297639
BaseRepresentation
bin10100011111111110…
…100001011101100000
32002211000011220211000
4110133332201131200
5330034344221120
614040054552000
71406314064034
oct243776413540
962730156730
1022011320160
1193758a8695
124323668600
1320ca2b66cb
1410cb48a1c4
1588c617990
hex51ffa1760

22011320160 has 384 divisors, whose sum is σ = 83172096000. Its totient is φ = 5420169216.

The previous prime is 22011320159. The next prime is 22011320173. The reversal of 22011320160 is 6102311022.

It is a super-3 number, since 3×220113201603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2877621 + ... + 2885259.

It is an arithmetic number, because the mean of its divisors is an integer number (216594000).

Almost surely, 222011320160 is an apocalyptic number.

22011320160 is a gapful number since it is divisible by the number (20) 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 22011320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41586048000).

22011320160 is an abundant number, since it is smaller than the sum of its proper divisors (61160775840).

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

22011320160 is a wasteful number, since it uses less digits than its factorization.

22011320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7715 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22011320160 its reverse (6102311022), we get a palindrome (28113631182).

The spelling of 22011320160 in words is "twenty-two billion, eleven million, three hundred twenty thousand, one hundred sixty".