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822844923664 = 242267772
BaseRepresentation
bin10111111100101010110…
…00010001111100010000
32220122220110220002211111
423332111120101330100
5101440141300024124
61430002034223104
7113306602310011
oct13762530217420
92818813802744
10822844923664
11297a6a564aa5
12113581124a94
135c794b8019a
142bb7c407008
151660dbbd494
hexbf95611f10

822844923664 has 15 divisors (see below), whose sum is σ = 1594269069717. Its totient is φ = 411420647616.

The previous prime is 822844923661. The next prime is 822844923683. The reversal of 822844923664 is 466329448228.

The square root of 822844923664 is 907108.

It is a perfect power (a square), and thus also a powerful number.

822844923664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4529290000 + 818315633664 = 67300^2 + 904608^2 .

It is a super-2 number, since 2×8228449236642 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 822844923599 and 822844923608.

It is not an unprimeable number, because it can be changed into a prime (822844923661) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3515044 + ... + 3741820.

Almost surely, 2822844923664 is an apocalyptic number.

822844923664 is the 907108-th square number.

It is an amenable number.

822844923664 is a deficient number, since it is larger than the sum of its proper divisors (771424146053).

822844923664 is an frugal number, since it uses more digits than its factorization.

822844923664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453562 (or 226779 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 58.

The spelling of 822844923664 in words is "eight hundred twenty-two billion, eight hundred forty-four million, nine hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 226777 453554 907108 1814216 3628432 51427807729 102855615458 205711230916 411422461832 822844923664