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2405353225 = 5211231312903
BaseRepresentation
bin1000111101011110…
…1100011100001001
320012122002121022111
42033113230130021
514411232300400
61034403022321
7113415110422
oct21727543411
96178077274
102405353225
111024839530
1257166a9a1
132c4441442
1418b654649
15e12823ba
hex8f5ec709

2405353225 has 48 divisors (see below), whose sum is σ = 3422352384. Its totient is φ = 1659944000.

The previous prime is 2405353183. The next prime is 2405353229. The reversal of 2405353225 is 5223535042.

It is not a de Polignac number, because 2405353225 - 223 = 2396964617 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2405353229) 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 47 ways as a sum of consecutive naturals, for example, 827124 + ... + 830026.

It is an arithmetic number, because the mean of its divisors is an integer number (71299008).

Almost surely, 22405353225 is an apocalyptic number.

2405353225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2405353225 is a deficient number, since it is larger than the sum of its proper divisors (1016999159).

2405353225 is a wasteful number, since it uses less digits than its factorization.

2405353225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 2405353225 is about 49044.4005468514. The cubic root of 2405353225 is about 1339.8606124041.

Adding to 2405353225 its reverse (5223535042), we get a palindrome (7628888267).

The spelling of 2405353225 in words is "two billion, four hundred five million, three hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 5 11 23 25 55 115 131 253 275 575 655 1265 1441 2903 3013 3275 6325 7205 14515 15065 31933 33143 36025 66769 72575 75325 159665 165715 333845 380293 734459 798325 828575 1669225 1901465 3672295 4183223 8746739 9507325 18361475 20916115 43733695 96214129 104580575 218668475 481070645 2405353225