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22623204240 = 2432571317191069
BaseRepresentation
bin10101000100011100…
…101011001110010000
32011101122112211222100
4111010130223032100
5332313020013430
614220513440400
71430424030450
oct250434531620
964348484870
1022623204240
11965a23320a
124474570100
132196cb35b0
141148847d60
158c61d1960
hex54472b390

22623204240 has 960 divisors, whose sum is σ = 104318323200. Its totient is φ = 4252041216.

The previous prime is 22623204169. The next prime is 22623204269. The reversal of 22623204240 is 4240232622.

It is a happy number.

22623204240 is a `hidden beast` number, since 2 + 2 + 6 + 232 + 0 + 424 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21162426 + ... + 21163494.

It is an arithmetic number, because the mean of its divisors is an integer number (108664920).

Almost surely, 222623204240 is an apocalyptic number.

22623204240 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 22623204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52159161600).

22623204240 is an abundant number, since it is smaller than the sum of its proper divisors (81695118960).

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

22623204240 is a wasteful number, since it uses less digits than its factorization.

22623204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22623204240 its reverse (4240232622), we get a palindrome (26863436862).

The spelling of 22623204240 in words is "twenty-two billion, six hundred twenty-three million, two hundred four thousand, two hundred forty".