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8822315040 = 2535711298231
BaseRepresentation
bin10000011011101100…
…11101100000100000
3211202211202001001220
420031312131200200
5121032003040130
64015232455040
7431424304050
oct101566354040
924684661056
108822315040
113817a6a960
1218626aa480
13aa7a0a076
145d99a1560
153697ce410
hex20dd9d820

8822315040 has 384 divisors, whose sum is σ = 35846737920. Its totient is φ = 1769779200.

The previous prime is 8822315027. The next prime is 8822315041. The reversal of 8822315040 is 405132288.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8822314992 and 8822315010.

It is not an unprimeable number, because it can be changed into a prime (8822315041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1067725 + ... + 1075955.

It is an arithmetic number, because the mean of its divisors is an integer number (93350880).

Almost surely, 28822315040 is an apocalyptic number.

8822315040 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 8822315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923368960).

8822315040 is an abundant number, since it is smaller than the sum of its proper divisors (27024422880).

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

8822315040 is a wasteful number, since it uses less digits than its factorization.

8822315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8822315040 is about 93927.1794530209. The cubic root of 8822315040 is about 2066.3038618536.

The spelling of 8822315040 in words is "eight billion, eight hundred twenty-two million, three hundred fifteen thousand, forty".