Search a number
-
+
2331235540 = 2254310126839
BaseRepresentation
bin1000101011110011…
…1101010011010100
320000110122000222001
42022330331103110
514233244014130
61023154245044
7111525114034
oct21274752324
96013560861
102331235540
11a96a15847
12550886784
132b1c9061a
1418187d8c4
15d99e16ca
hex8af3d4d4

2331235540 has 48 divisors (see below), whose sum is σ = 5059232640. Its totient is φ = 901756800.

The previous prime is 2331235537. The next prime is 2331235547. The reversal of 2331235540 is 455321332.

It is a junction number, because it is equal to n+sod(n) for n = 2331235499 and 2331235508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331235547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73441 + ... + 100279.

It is an arithmetic number, because the mean of its divisors is an integer number (105400680).

Almost surely, 22331235540 is an apocalyptic number.

2331235540 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 2331235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529616320).

2331235540 is an abundant number, since it is smaller than the sum of its proper divisors (2727997100).

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

2331235540 is a wasteful number, since it uses less digits than its factorization.

2331235540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26992 (or 26990 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 2331235540 is about 48282.8700472538. The cubic root of 2331235540 is about 1325.9547958476.

Adding to 2331235540 its reverse (455321332), we get a palindrome (2786556872).

The spelling of 2331235540 in words is "two billion, three hundred thirty-one million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 505 860 1010 2020 4343 8686 17372 21715 26839 43430 53678 86860 107356 134195 268390 536780 1154077 2308154 2710739 4616308 5421478 5770385 10842956 11540770 13553695 23081540 27107390 54214780 116561777 233123554 466247108 582808885 1165617770 2331235540