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22664420712 = 233219671072311
BaseRepresentation
bin10101000110111001…
…111001110101101000
32011111112002212100100
4111012321321311220
5332404042430322
614224545105400
71431434253213
oct250671716550
964445085310
1022664420712
11968052480a
124486328260
1321a26b4a3b
1411500d677a
158c9b23dac
hex546e79d68

22664420712 has 192 divisors, whose sum is σ = 66219379200. Its totient is φ = 6981448320.

The previous prime is 22664420711. The next prime is 22664420717. The reversal of 22664420712 is 21702446622.

22664420712 is a `hidden beast` number, since 2 + 2 + 6 + 644 + 2 + 0 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22664420711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9806037 + ... + 9808347.

It is an arithmetic number, because the mean of its divisors is an integer number (344892600).

Almost surely, 222664420712 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 22664420712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33109689600).

22664420712 is an abundant number, since it is smaller than the sum of its proper divisors (43554958488).

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

22664420712 is a wasteful number, since it uses less digits than its factorization.

22664420712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22664420712 in words is "twenty-two billion, six hundred sixty-four million, four hundred twenty thousand, seven hundred twelve".