Search a number
-
+
2543538822 = 231126752291
BaseRepresentation
bin1001011110011011…
…0101001010000110
320120021010011022120
42113212311022012
520202121220242
61100220510410
7120013503036
oct22746651206
96507104276
102543538822
111095841400
125ab9ab406
13316c64976
141a1b458c6
15ed47b1ec
hex979b5286

2543538822 has 48 divisors (see below), whose sum is σ = 5675146176. Its totient is φ = 759250800.

The previous prime is 2543538821. The next prime is 2543538857. The reversal of 2543538822 is 2288353452.

2543538822 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25435388222 = 12939179478042295368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543538821) 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, 22497 + ... + 74787.

It is an arithmetic number, because the mean of its divisors is an integer number (118232212).

Almost surely, 22543538822 is an apocalyptic number.

2543538822 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543538822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837573088).

2543538822 is an abundant number, since it is smaller than the sum of its proper divisors (3131607354).

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

2543538822 is a wasteful number, since it uses less digits than its factorization.

2543538822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52385 (or 52374 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2543538822 is about 50433.5089201614. The cubic root of 2543538822 is about 1365.0423440822.

It can be divided in two parts, 254353 and 8822, that added together give a triangular number (263175 = T725).

The spelling of 2543538822 in words is "two billion, five hundred forty-three million, five hundred thirty-eight thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 67 121 134 201 242 363 402 726 737 1474 2211 4422 8107 16214 24321 48642 52291 104582 156873 313746 575201 1150402 1725603 3451206 3503497 6327211 7006994 10510491 12654422 18981633 21020982 37963266 38538467 77076934 115615401 231230802 423923137 847846274 1271769411 2543538822