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8971223040 = 217345132
BaseRepresentation
bin10000101101011101…
…00000000000000000
3212011012221100110000
420112232200000000
5121333113114130
64042112240000
7435213065133
oct102656400000
925135840400
108971223040
11389402671a
1218a4540000
13acc815c00
1461168421a
153778e5260
hex216ba0000

8971223040 has 540 divisors, whose sum is σ = 34827794694. Its totient is φ = 2208301056.

The previous prime is 8971223033. The next prime is 8971223057. The reversal of 8971223040 is 403221798.

It can be written as a sum of positive squares in 3 ways, for example, as 3869835264 + 5101387776 = 62208^2 + 71424^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8971222986 and 8971223004.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 690094074 + ... + 690094086.

Almost surely, 28971223040 is an apocalyptic number.

8971223040 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 8971223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413897347).

8971223040 is an abundant number, since it is smaller than the sum of its proper divisors (25856571654).

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

8971223040 is an frugal number, since it uses more digits than its factorization.

8971223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8971223040 is about 94716.5404773633. The cubic root of 8971223040 is about 2077.8644748846.

The spelling of 8971223040 in words is "eight billion, nine hundred seventy-one million, two hundred twenty-three thousand, forty".