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22111132032 = 273311678681
BaseRepresentation
bin10100100101111011…
…010001100110000000
32010001221222212222000
4110211323101212000
5330240422211112
614054022144000
71411635343533
oct244573214600
963057885860
1022111132032
119417180840
124350b82000
132114b926a2
1410da82ca1a
158962817dc
hex525ed1980

22111132032 has 256 divisors, whose sum is σ = 72262022400. Its totient is φ = 6599577600.

The previous prime is 22111132009. The next prime is 22111132049. The reversal of 22111132032 is 23023111122.

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

It is a junction number, because it is equal to n+sod(n) for n = 22111131996 and 22111132014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542732 + ... + 2551412.

It is an arithmetic number, because the mean of its divisors is an integer number (282273525).

Almost surely, 222111132032 is an apocalyptic number.

22111132032 is a gapful number since it is divisible by the number (22) 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 22111132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36131011200).

22111132032 is an abundant number, since it is smaller than the sum of its proper divisors (50150890368).

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

22111132032 is a wasteful number, since it uses less digits than its factorization.

22111132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8764 counting only the distinct ones).

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

Adding to 22111132032 its reverse (23023111122), we get a palindrome (45134243154).

The spelling of 22111132032 in words is "twenty-two billion, one hundred eleven million, one hundred thirty-two thousand, thirty-two".