Search a number
-
+
2331423440 = 24576937897
BaseRepresentation
bin1000101011110110…
…1011001011010000
320000110222120201022
42022331223023100
514233321022230
61023202255012
7111526525613
oct21275531320
96013876638
102331423440
11a97033a35
12550957468
132b2027cc8
141818cc17a
15d9a2c1e5
hex8af6b2d0

2331423440 has 40 divisors (see below), whose sum is σ = 5427751560. Its totient is φ = 931332096.

The previous prime is 2331423439. The next prime is 2331423461. The reversal of 2331423440 is 443241332.

2331423440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14348944 + 2317074496 = 3788^2 + 48136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42572 + ... + 80468.

It is an arithmetic number, because the mean of its divisors is an integer number (135693789).

Almost surely, 22331423440 is an apocalyptic number.

2331423440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2331423440 is an abundant number, since it is smaller than the sum of its proper divisors (3096328120).

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

2331423440 is a wasteful number, since it uses less digits than its factorization.

2331423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38679 (or 38673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2331423440 is about 48284.8158327232. The cubic root of 2331423440 is about 1325.9904193340.

Adding to 2331423440 its reverse (443241332), we get a palindrome (2774664772).

The spelling of 2331423440 in words is "two billion, three hundred thirty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 769 1538 3076 3845 6152 7690 12304 15380 30760 37897 61520 75794 151588 189485 303176 378970 606352 757940 1515880 3031760 29142793 58285586 116571172 145713965 233142344 291427930 466284688 582855860 1165711720 2331423440