Search a number
-
+
2203088828544 = 27323761847321
BaseRepresentation
bin100000000011110010010…
…100111011100010000000
321210121120001022021122200
4200003302110323202000
5242043411220003134
64404030211233200
7315111411031062
oct40036224734200
97717501267580
102203088828544
1177a36323364a
122b6b81ba8800
1312c99a799736
14788b6c9b732
153c4926e0499
hex200f253b880

2203088828544 has 192 divisors, whose sum is σ = 6617703445080. Its totient is φ = 702801100800.

The previous prime is 2203088828543. The next prime is 2203088828573. The reversal of 2203088828544 is 4458288803022.

It can be written as a sum of positive squares in 4 ways, for example, as 1494946382400 + 708142446144 = 1222680^2 + 841512^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2203088828543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2176404 + ... + 3023724.

Almost surely, 22203088828544 is an apocalyptic number.

2203088828544 is a gapful number since it is divisible by the number (24) 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 2203088828544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308851722540).

2203088828544 is an abundant number, since it is smaller than the sum of its proper divisors (4414614616536).

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

2203088828544 is a wasteful number, since it uses less digits than its factorization.

2203088828544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847439 (or 847424 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 2203088828544 in words is "two trillion, two hundred three billion, eighty-eight million, eight hundred twenty-eight thousand, five hundred forty-four".