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22213132222320 = 24325135940223693
BaseRepresentation
bin1010000110011111001011…
…10110101111111101110000
32220122112222101012001111200
411003033211312233331300
510402414443322103240
6115124323322211200
74451563060356264
oct503174566577560
986575871161450
1022213132222320
11709459a054016
1225a9079053b00
13c518c6752110
1456b19ad360a4
15287c34156930
hex1433e5daff70

22213132222320 has 240 divisors, whose sum is σ = 81699149357280. Its totient is φ = 5375172409344.

The previous prime is 22213132222277. The next prime is 22213132222321. The reversal of 22213132222320 is 2322223131222.

22213132222320 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 313 + 2 + 2 + 22 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213132222321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19559607 + ... + 20664086.

It is an arithmetic number, because the mean of its divisors is an integer number (340413122322).

Almost surely, 222213132222320 is an apocalyptic number.

22213132222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213132222320 is an abundant number, since it is smaller than the sum of its proper divisors (59486017134960).

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

22213132222320 is a wasteful number, since it uses less digits than its factorization.

22213132222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40223784 (or 40223775 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22213132222320 its reverse (2322223131222), we get a palindrome (24535355353542).

The spelling of 22213132222320 in words is "twenty-two trillion, two hundred thirteen billion, one hundred thirty-two million, two hundred twenty-two thousand, three hundred twenty".