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9225006126 = 237295774279
BaseRepresentation
bin10001001011101101…
…00110110000101110
3212210220110212101120
420211312212300232
5122343100144001
64123215521410
7444414154410
oct104566466056
925726425346
109225006126
113a04303706
121955529266
13b4028150b
146372669b0
1538ed25236
hex225da6c2e

9225006126 has 32 divisors (see below), whose sum is σ = 21093143040. Its totient is φ = 2634789216.

The previous prime is 9225006121. The next prime is 9225006137. The reversal of 9225006126 is 6216005229.

9225006126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9225006121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87055 + ... + 161333.

It is an arithmetic number, because the mean of its divisors is an integer number (659160720).

Almost surely, 29225006126 is an apocalyptic number.

9225006126 is an abundant number, since it is smaller than the sum of its proper divisors (11868136914).

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

9225006126 is a wasteful number, since it uses less digits than its factorization.

9225006126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77248.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 9225006126 is about 96046.8954521696. The cubic root of 9225006126 is about 2097.2758423050.

The spelling of 9225006126 in words is "nine billion, two hundred twenty-five million, six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 2957 5914 8871 17742 20699 41398 62097 74279 124194 148558 222837 445674 519953 1039906 1559859 3119718 219643003 439286006 658929009 1317858018 1537501021 3075002042 4612503063 9225006126