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9228012864 = 2637101157433
BaseRepresentation
bin10001001100000100…
…00100110101000000
3212211010010121212020
420212002010311000
5122344332402424
64123404201440
7444451546410
oct104602046500
925733117766
109228012864
113a05a77714
121956539280
13b40a94c55
1463780a640
1539021b079
hex226084d40

9228012864 has 224 divisors, whose sum is σ = 28425014016. Its totient is φ = 2587852800.

The previous prime is 9228012863. The next prime is 9228012881. The reversal of 9228012864 is 4682108229.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9228012863) 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, 21311592 + ... + 21312024.

It is an arithmetic number, because the mean of its divisors is an integer number (126897384).

Almost surely, 29228012864 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 9228012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212507008).

9228012864 is an abundant number, since it is smaller than the sum of its proper divisors (19197001152).

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

9228012864 is a wasteful number, since it uses less digits than its factorization.

9228012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 9228012864 is about 96062.5466245820. The cubic root of 9228012864 is about 2097.5036749988.

The spelling of 9228012864 in words is "nine billion, two hundred twenty-eight million, twelve thousand, eight hundred sixty-four".