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8665226640 = 24335721931139
BaseRepresentation
bin10000001000111110…
…01101110110010000
3211100220011010022000
420010133031312100
5120221244223030
63551501514000
7424506132300
oct100437156620
924326133260
108665226640
113747327034
121819b72900
13a812c8955
145c2b8d600
1535aaee860
hex2047cdd90

8665226640 has 960 divisors, whose sum is σ = 37997568000. Its totient is φ = 1802787840.

The previous prime is 8665226639. The next prime is 8665226641. The reversal of 8665226640 is 466225668.

8665226640 is a `hidden beast` number, since 8 + 66 + 522 + 6 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8665226639) and next prime (8665226641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8665226641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62339691 + ... + 62339829.

It is an arithmetic number, because the mean of its divisors is an integer number (39580800).

Almost surely, 28665226640 is an apocalyptic number.

8665226640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8665226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998784000).

8665226640 is an abundant number, since it is smaller than the sum of its proper divisors (29332341360).

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

8665226640 is a wasteful number, since it uses less digits than its factorization.

8665226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8665226640 is about 93087.1991199649. The cubic root of 8665226640 is about 2053.9662764078.

The spelling of 8665226640 in words is "eight billion, six hundred sixty-five million, two hundred twenty-six thousand, six hundred forty".