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2331141140 = 225116557057
BaseRepresentation
bin1000101011110010…
…0110010000010100
320000110110020110202
42022330212100110
514233233004030
61023152240032
7111524241566
oct21274462024
96013406422
102331141140
11a96960929
12550840018
132b1c59673
14181857336
15d99c3745
hex8af26414

2331141140 has 12 divisors (see below), whose sum is σ = 4895396436. Its totient is φ = 932456448.

The previous prime is 2331141139. The next prime is 2331141199. The reversal of 2331141140 is 411411332.

It can be written as a sum of positive squares in 2 ways, for example, as 1062499216 + 1268641924 = 32596^2 + 35618^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 116557057 = 2331141140 / (2 + 3 + 3 + 1 + 1 + 4 + 1 + 1 + 4 + 0).

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 3 ways as a sum of consecutive naturals, for example, 58278509 + ... + 58278548.

It is an arithmetic number, because the mean of its divisors is an integer number (407949703).

Almost surely, 22331141140 is an apocalyptic number.

2331141140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331141140 is an abundant number, since it is smaller than the sum of its proper divisors (2564255296).

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

2331141140 is a wasteful number, since it uses less digits than its factorization.

2331141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116557066 (or 116557064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2331141140 is about 48281.8924649811. The cubic root of 2331141140 is about 1325.9368980677.

Adding to 2331141140 its reverse (411411332), we get a palindrome (2742552472).

The spelling of 2331141140 in words is "two billion, three hundred thirty-one million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 116557057 233114114 466228228 582785285 1165570570 2331141140