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22445040000 = 27354412281
BaseRepresentation
bin10100111001110101…
…000010000110000000
32010221020022011120210
4110321311002012000
5331431412240000
614151111034120
71423131456255
oct247165020600
963836264523
1022445040000
119578704839
12442496b940
132169103176
14112cd0b42c
158b573c350
hex539d42180

22445040000 has 320 divisors, whose sum is σ = 76351247280. Its totient is φ = 5836800000.

The previous prime is 22445039977. The next prime is 22445040017. The reversal of 22445040000 is 4054422.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9838860 + ... + 9841140.

Almost surely, 222445040000 is an apocalyptic number.

22445040000 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 22445040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38175623640).

22445040000 is an abundant number, since it is smaller than the sum of its proper divisors (53906207280).

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

22445040000 is an equidigital number, since it uses as much as digits as its factorization.

22445040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 22445040000 its reverse (4054422), we get a palindrome (22449094422).

The spelling of 22445040000 in words is "twenty-two billion, four hundred forty-five million, forty thousand".