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9225006141 = 31319109111411
BaseRepresentation
bin10001001011101101…
…00110110000111101
3212210220110212102010
420211312212300331
5122343100144031
64123215521433
7444414154431
oct104566466075
925726425363
109225006141
113a0430371a
121955529279
13b40281520
146372669c1
1538ed25246
hex225da6c3d

9225006141 has 32 divisors (see below), whose sum is σ = 13957332480. Its totient is φ = 5372740800.

The previous prime is 9225006139. The next prime is 9225006143. The reversal of 9225006141 is 1416005229.

It is an interprime number because it is at equal distance from previous prime (9225006139) and next prime (9225006143).

It is not a de Polignac number, because 9225006141 - 21 = 9225006139 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9225006099 and 9225006108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9225006143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802726 + ... + 814136.

It is an arithmetic number, because the mean of its divisors is an integer number (436166640).

Almost surely, 29225006141 is an apocalyptic number.

It is an amenable number.

9225006141 is a deficient number, since it is larger than the sum of its proper divisors (4732326339).

9225006141 is a wasteful number, since it uses less digits than its factorization.

9225006141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9225006141 is about 96046.8955302565. The cubic root of 9225006141 is about 2097.2758434417.

The spelling of 9225006141 in words is "nine billion, two hundred twenty-five million, six thousand, one hundred forty-one".

Divisors: 1 3 13 19 39 57 247 741 1091 3273 11411 14183 20729 34233 42549 62187 148343 216809 269477 445029 650427 808431 2818517 8455551 12449401 37348203 161842213 236538619 485526639 709615857 3075002047 9225006141