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2203871040 = 26325732397
BaseRepresentation
bin1000001101011100…
…0110011101000000
312200120222020201100
42003113012131000
514003142333130
61002404334400
7105420411000
oct20327063500
95616866640
102203871040
11a31033a28
125160a4400
13291788607
1416c9a8000
15cd733c60
hex835c6740

2203871040 has 672 divisors, whose sum is σ = 9319564800. Its totient is φ = 476872704.

The previous prime is 2203870987. The next prime is 2203871057. The reversal of 2203871040 is 401783022.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 2203870995 and 2203871013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22720272 + ... + 22720368.

It is an arithmetic number, because the mean of its divisors is an integer number (13868400).

Almost surely, 22203871040 is an apocalyptic number.

2203871040 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 2203871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659782400).

2203871040 is an abundant number, since it is smaller than the sum of its proper divisors (7115693760).

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

2203871040 is a wasteful number, since it uses less digits than its factorization.

2203871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2203871040 is about 46945.4048869535. The cubic root of 2203871040 is about 1301.3538243474.

The spelling of 2203871040 in words is "two billion, two hundred three million, eight hundred seventy-one thousand, forty".