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22352220000 = 253354115371
BaseRepresentation
bin10100110100010010…
…111100111101100000
32010200202122102111000
4110310102330331200
5331234132020000
614133553352000
71420623510105
oct246422747540
963622572430
1022352220000
1195302777a0
1243b9868600
132152b047a6
141120868aac
158ac505000
hex5344bcf60

22352220000 has 960 divisors, whose sum is σ = 91824606720. Its totient is φ = 5241600000.

The previous prime is 22352219999. The next prime is 22352220017. The reversal of 22352220000 is 2225322.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 314819965 + ... + 314820035.

It is an arithmetic number, because the mean of its divisors is an integer number (95650632).

Almost surely, 222352220000 is an apocalyptic number.

22352220000 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 22352220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912303360).

22352220000 is an abundant number, since it is smaller than the sum of its proper divisors (69472386720).

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

22352220000 is a wasteful number, since it uses less digits than its factorization.

22352220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 22352220000 its reverse (2225322), we get a palindrome (22354445322).

The spelling of 22352220000 in words is "twenty-two billion, three hundred fifty-two million, two hundred twenty thousand".