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22883868672 = 21337231613
BaseRepresentation
bin10101010011111111…
…000010000000000000
32012001211000222100120
4111103333002000000
5333331232244142
614302424420240
71440040450200
oct252377020000
965054028316
1022883868672
119783390265
124527917680
132208cbb0c2
1411712dc400
158de0207ec
hex553fc2000

22883868672 has 336 divisors, whose sum is σ = 73391645952. Its totient is φ = 6317015040.

The previous prime is 22883868659. The next prime is 22883868697. The reversal of 22883868672 is 27686838822.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37330638 + ... + 37331250.

Almost surely, 222883868672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22883868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36695822976).

22883868672 is an abundant number, since it is smaller than the sum of its proper divisors (50507777280).

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

22883868672 is an equidigital number, since it uses as much as digits as its factorization.

22883868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 656 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 22883868672 in words is "twenty-two billion, eight hundred eighty-three million, eight hundred sixty-eight thousand, six hundred seventy-two".