Search a number
-
+
2140303552200 = 233252111135991597
BaseRepresentation
bin11111001001010100000…
…010000110111011001000
321120121111102201210001100
4133021110002012323020
5240031320202132300
64315124125021400
7310426501010142
oct37112402067310
97517442653040
102140303552200
11755774615210
122a697b3b4860
13126aa2c98c48
147583c537c92
153aa1a6b0700
hex1f254086ec8

2140303552200 has 576 divisors, whose sum is σ = 7928854128000. Its totient is φ = 513089740800.

The previous prime is 2140303552181. The next prime is 2140303552207. The reversal of 2140303552200 is 22553030412.

It is a happy number.

2140303552200 is a `hidden beast` number, since 2 + 1 + 403 + 0 + 3 + 5 + 52 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (2140303552207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1340201802 + ... + 1340203398.

It is an arithmetic number, because the mean of its divisors is an integer number (13765371750).

Almost surely, 22140303552200 is an apocalyptic number.

2140303552200 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 2140303552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964427064000).

2140303552200 is an abundant number, since it is smaller than the sum of its proper divisors (5788550575800).

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

2140303552200 is a wasteful number, since it uses less digits than its factorization.

2140303552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 2140303552200 its reverse (22553030412), we get a palindrome (2162856582612).

The spelling of 2140303552200 in words is "two trillion, one hundred forty billion, three hundred three million, five hundred fifty-two thousand, two hundred".