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2241410325 = 3527111932011
BaseRepresentation
bin1000010110011001…
…0011010100010101
312210012121102221020
42011212103110111
514042300112300
61010225111353
7106354446660
oct20546232425
95705542836
102241410325
11a50243830
12526788559
132994a00cb
1417397a6d7
15d1b9b8a0
hex85993515

2241410325 has 96 divisors (see below), whose sum is σ = 4646464512. Its totient is φ = 926208000.

The previous prime is 2241410293. The next prime is 2241410341. The reversal of 2241410325 is 5230141422.

It is not a de Polignac number, because 2241410325 - 25 = 2241410293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2241410295 and 2241410304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113570 + ... + 1115580.

It is an arithmetic number, because the mean of its divisors is an integer number (48400672).

Almost surely, 22241410325 is an apocalyptic number.

2241410325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2241410325 is an abundant number, since it is smaller than the sum of its proper divisors (2405054187).

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

2241410325 is a wasteful number, since it uses less digits than its factorization.

2241410325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2230 counting only the distinct ones).

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

The square root of 2241410325 is about 47343.5351975325. The cubic root of 2241410325 is about 1308.7010656675.

Adding to 2241410325 its reverse (5230141422), we get a palindrome (7471551747).

The spelling of 2241410325 in words is "two billion, two hundred forty-one million, four hundred ten thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 193 231 275 385 525 579 825 965 1155 1351 1925 2011 2123 2895 4053 4825 5775 6033 6369 6755 10055 10615 14077 14475 14861 20265 22121 30165 31845 33775 42231 44583 50275 53075 66363 70385 74305 101325 110605 150825 154847 159225 211155 222915 331815 351925 371525 388123 464541 553025 774235 1055775 1114575 1164369 1659075 1940615 2322705 2716861 3871175 4269353 5821845 8150583 9703075 11613525 12808059 13584305 21346765 29109225 29885471 40752915 64040295 67921525 89656413 106733825 149427355 203764575 320201475 448282065 747136775 2241410325