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9225006112 = 25743395111
BaseRepresentation
bin10001001011101101…
…00110110000100000
3212210220110212101001
420211312212300200
5122343100143422
64123215521344
7444414154360
oct104566466040
925726425331
109225006112
113a043036a3
121955529254
13b402814ca
146372669a0
1538ed25227
hex225da6c20

9225006112 has 48 divisors (see below), whose sum is σ = 20804418432. Its totient is φ = 3944401920.

The previous prime is 9225006101. The next prime is 9225006121. The reversal of 9225006112 is 2116005229.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49437 + ... + 144547.

It is an arithmetic number, because the mean of its divisors is an integer number (433425384).

Almost surely, 29225006112 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 9225006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402209216).

9225006112 is an abundant number, since it is smaller than the sum of its proper divisors (11579412320).

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

9225006112 is a wasteful number, since it uses less digits than its factorization.

9225006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95561 (or 95553 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 9225006112 is about 96046.8953792885. The cubic root of 9225006112 is about 2097.2758412440.

The spelling of 9225006112 in words is "nine billion, two hundred twenty-five million, six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 433 866 1732 3031 3464 6062 6928 12124 13856 24248 48496 95111 96992 190222 380444 665777 760888 1331554 1521776 2663108 3043552 5326216 10652432 21304864 41183063 82366126 164732252 288281441 329464504 576562882 658929008 1153125764 1317858016 2306251528 4612503056 9225006112