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22655066256 = 24343721132
BaseRepresentation
bin10101000110010110…
…001110000010010000
32011110212111121110000
4111012112032002100
5332344144110011
614224012410000
71431261612564
oct250626160220
964425447400
1022655066256
119676215659
124483176900
1321a078ac64
14114cb7d6a4
158c8dc7356
hex54658e090

22655066256 has 225 divisors, whose sum is σ = 67992055131. Its totient is φ = 7282566144.

The previous prime is 22655066123. The next prime is 22655066257. The reversal of 22655066256 is 65266055622.

The square root of 22655066256 is 150516.

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

22655066256 is a `hidden beast` number, since 22 + 65 + 506 + 62 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 869306256 + 21785760000 = 29484^2 + 147600^2 .

It is not an unprimeable number, because it can be changed into a prime (22655066257) 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 44 ways as a sum of consecutive naturals, for example, 200487256 + ... + 200487368.

Almost surely, 222655066256 is an apocalyptic number.

22655066256 is the 150516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22655066256

22655066256 is an abundant number, since it is smaller than the sum of its proper divisors (45336988875).

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

22655066256 is an equidigital number, since it uses as much as digits as its factorization.

22655066256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 22655066256 in words is "twenty-two billion, six hundred fifty-five million, sixty-six thousand, two hundred fifty-six".