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22055235890688 = 2938721113937
BaseRepresentation
bin1010000001111001000101…
…00000000010111000000000
32220002110102022101100000000
411000330202200002320000
510342323110342000223
6114524011400000000
74434303206606100
oct500744240027000
986073368340000
1022055235890688
117033633755060
122582551a60000
13c3ca52288ca0
1456369c985200
15283a92208543
hex140f22802e00

22055235890688 has 2160 divisors, whose sum is σ = 90427774220784. Its totient is φ = 5282325135360.

The previous prime is 22055235890687. The next prime is 22055235890707. The reversal of 22055235890688 is 88609853255022.

22055235890688 is a `hidden beast` number, since 2 + 20 + 5 + 5 + 23 + 589 + 0 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×220552358906882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055235890687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23538138156 + ... + 23538139092.

Almost surely, 222055235890688 is an apocalyptic number.

22055235890688 is a gapful number since it is divisible by the number (28) 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 22055235890688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45213887110392).

22055235890688 is an abundant number, since it is smaller than the sum of its proper divisors (68372538330096).

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

22055235890688 is an frugal number, since it uses more digits than its factorization.

22055235890688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 22055235890688 in words is "twenty-two trillion, fifty-five billion, two hundred thirty-five million, eight hundred ninety thousand, six hundred eighty-eight".