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22730388912 = 24337211314767
BaseRepresentation
bin10101001010110101…
…100011010110110000
32011200010020101201000
4111022311203112300
5333022434421122
614235303042000
71433165055300
oct251265432660
964603211630
1022730388912
119704791690
1244a4440300
1321b327138a
141158b89600
158d08050ac
hex54ad635b0

22730388912 has 960 divisors, whose sum is σ = 88588615680. Its totient is φ = 5508518400.

The previous prime is 22730388869. The next prime is 22730388913. The reversal of 22730388912 is 21988303722.

22730388912 is a `hidden beast` number, since 227 + 30 + 388 + 9 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (22730388913) 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, 339259503 + ... + 339259569.

It is an arithmetic number, because the mean of its divisors is an integer number (92279808).

Almost surely, 222730388912 is an apocalyptic number.

22730388912 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 22730388912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44294307840).

22730388912 is an abundant number, since it is smaller than the sum of its proper divisors (65858226768).

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

22730388912 is a wasteful number, since it uses less digits than its factorization.

22730388912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 22730388912 in words is "twenty-two billion, seven hundred thirty million, three hundred eighty-eight thousand, nine hundred twelve".