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22664144656 = 2441229150869
BaseRepresentation
bin10101000110111000…
…110110011100010000
32011111111120211200001
4111012320312130100
5332404010112111
614224535135344
71431432023326
oct250670663420
964444524601
1022664144656
11968035636a
124486214554
1321a26191aa
141150063d16
158c9abc1c1
hex546e36710

22664144656 has 40 divisors (see below), whose sum is σ = 45179530200. Its totient is φ = 11007329280.

The previous prime is 22664144651. The next prime is 22664144693. The reversal of 22664144656 is 65644146622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 379626256 + 22284518400 = 19484^2 + 149280^2 .

It is not an unprimeable number, because it can be changed into a prime (22664144651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74790 + ... + 225658.

It is an arithmetic number, because the mean of its divisors is an integer number (1129488255).

Almost surely, 222664144656 is an apocalyptic number.

It is an amenable number.

22664144656 is a deficient number, since it is larger than the sum of its proper divisors (22515385544).

22664144656 is a wasteful number, since it uses less digits than its factorization.

22664144656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151147 (or 151141 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 22664144656 in words is "twenty-two billion, six hundred sixty-four million, one hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 41 82 164 229 328 458 656 916 1832 3664 9389 18778 37556 75112 150224 150869 301738 603476 1206952 2413904 6185629 12371258 24742516 34549001 49485032 69098002 98970064 138196004 276392008 552784016 1416509041 2833018082 5666036164 11332072328 22664144656