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22344235056 = 2432111317293171
BaseRepresentation
bin10100110011110100…
…011111100000110000
32010200012121202012100
4110303310133200300
5331230111010211
614133110300400
71420465602303
oct246364374060
963605552170
1022344235056
119526813570
1243b7057700
13215126a180
14111d78ab3a
158ab979156
hex533d1f830

22344235056 has 960 divisors, whose sum is σ = 84234608640. Its totient is φ = 5419008000.

The previous prime is 22344235051. The next prime is 22344235057. The reversal of 22344235056 is 65053244322.

22344235056 is a `hidden beast` number, since 223 + 4 + 423 + 5 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22344235056.

It is not an unprimeable number, because it can be changed into a prime (22344235051) 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 191 ways as a sum of consecutive naturals, for example, 314707501 + ... + 314707571.

It is an arithmetic number, because the mean of its divisors is an integer number (87744384).

Almost surely, 222344235056 is an apocalyptic number.

22344235056 is a gapful number since it is divisible by the number (26) 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 22344235056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42117304320).

22344235056 is an abundant number, since it is smaller than the sum of its proper divisors (61890373584).

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

22344235056 is a wasteful number, since it uses less digits than its factorization.

22344235056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 22344235056 its reverse (65053244322), we get a palindrome (87397479378).

The spelling of 22344235056 in words is "twenty-two billion, three hundred forty-four million, two hundred thirty-five thousand, fifty-six".