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22005520132224 = 27357306042011
BaseRepresentation
bin1010000000011100011110…
…01101011110100010000000
32212220201002112102010110110
411000032033031132202000
510341014301123212344
6114445110230431320
74430563205620626
oct500161715364200
985821075363413
1022005520132224
117014541482972
122574998202540
13c3815b38a425
14561103cc5516
152826327ad3b9
hex14038f35e880

22005520132224 has 32 divisors (see below), whose sum is σ = 58452162852240. Its totient is φ = 7335173377280.

The previous prime is 22005520132207. The next prime is 22005520132231. The reversal of 22005520132224 is 42223102550022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 22005520132191 and 22005520132200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28653020622 + ... + 28653021389.

Almost surely, 222005520132224 is an apocalyptic number.

22005520132224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22005520132224 is an abundant number, since it is smaller than the sum of its proper divisors (36446642720016).

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

22005520132224 is an equidigital number, since it uses as much as digits as its factorization.

22005520132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57306042028 (or 57306042016 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 22005520132224 its reverse (42223102550022), we get a palindrome (64228622682246).

The spelling of 22005520132224 in words is "twenty-two trillion, five billion, five hundred twenty million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 57306042011 114612084022 171918126033 229224168044 343836252066 458448336088 687672504132 916896672176 1375345008264 1833793344352 2750690016528 3667586688704 5501380033056 7335173377408 11002760066112 22005520132224