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2065122540 = 2234513219397
BaseRepresentation
bin111101100010111…
…0100010011101100
312022220220002120000
41323011310103230
513212132410130
6540530424300
7102114152265
oct17305642354
95286802500
102065122540
1196a787148
12497732090
1326bac8b00
141583ab96c
15c1478260
hex7b1744ec

2065122540 has 360 divisors, whose sum is σ = 7402847760. Its totient is φ = 480370176.

The previous prime is 2065122529. The next prime is 2065122541. The reversal of 2065122540 is 452215602.

2065122540 is a `hidden beast` number, since 2 + 0 + 651 + 2 + 2 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×20651225402 = 8529462210432103200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2065122541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5201622 + ... + 5202018.

It is an arithmetic number, because the mean of its divisors is an integer number (20563466).

Almost surely, 22065122540 is an apocalyptic number.

2065122540 is a gapful number since it is divisible by the number (20) 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 2065122540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701423880).

2065122540 is an abundant number, since it is smaller than the sum of its proper divisors (5337725220).

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

2065122540 is a wasteful number, since it uses less digits than its factorization.

2065122540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2065122540 is about 45443.6193540963. The cubic root of 2065122540 is about 1273.4501306080.

The spelling of 2065122540 in words is "two billion, sixty-five million, one hundred twenty-two thousand, five hundred forty".