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2035220000 = 2554112292
BaseRepresentation
bin111100101001110…
…1111111000100000
312020211121212222112
41321103233320200
513132004020000
6533541454452
7101302041002
oct17123577040
95224555875
102035220000
11954912a00
12489711428
132658592b8
14154426372
15bda1d235
hex794efe20

2035220000 has 270 divisors, whose sum is σ = 5699823129. Its totient is φ = 714560000.

The previous prime is 2035219999. The next prime is 2035220053. The reversal of 2035220000 is 225302.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 133911184 + 1901308816 = 11572^2 + 43604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=31900.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 70179986 + ... + 70180014.

Almost surely, 22035220000 is an apocalyptic number.

2035220000 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 2035220000

2035220000 is an abundant number, since it is smaller than the sum of its proper divisors (3664603129).

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

2035220000 is an equidigital number, since it uses as much as digits as its factorization.

2035220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2035220000 is about 45113.4126397017. The cubic root of 2035220000 is about 1267.2737932850.

Adding to 2035220000 its reverse (225302), we get a palindrome (2035445302).

The spelling of 2035220000 in words is "two billion, thirty-five million, two hundred twenty thousand".