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2240413125 = 3542941203
BaseRepresentation
bin1000010110001001…
…1111110111000101
312210010201210000220
42011202133313011
514042021210000
61010151454553
7106343124456
oct20542376705
95703653026
102240413125
11a4a7225a5
12526387459
13299211252
1417379b12d
15d1a511a0
hex8589fdc5

2240413125 has 40 divisors (see below), whose sum is σ = 3861638880. Its totient is φ = 1153656000.

The previous prime is 2240413117. The next prime is 2240413129. The reversal of 2240413125 is 5213140422.

It is not a de Polignac number, because 2240413125 - 23 = 2240413117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2240413095 and 2240413104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240413129) 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 39 ways as a sum of consecutive naturals, for example, 33774 + ... + 74976.

It is an arithmetic number, because the mean of its divisors is an integer number (96540972).

Almost surely, 22240413125 is an apocalyptic number.

2240413125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2240413125 is a deficient number, since it is larger than the sum of its proper divisors (1621225755).

2240413125 is an equidigital number, since it uses as much as digits as its factorization.

2240413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41255 (or 41240 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2240413125 is about 47333.0024929752. The cubic root of 2240413125 is about 1308.5069571826.

Adding to 2240413125 its reverse (5213140422), we get a palindrome (7453553547).

The spelling of 2240413125 in words is "two billion, two hundred forty million, four hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 87 125 145 375 435 625 725 1875 2175 3625 10875 18125 41203 54375 123609 206015 618045 1030075 1194887 3090225 3584661 5150375 5974435 15451125 17923305 25751875 29872175 77255625 89616525 149360875 448082625 746804375 2240413125