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245071125 = 32531321289
BaseRepresentation
bin11101001101101…
…11110100010101
3122002010220101100
432212313310111
51000214234000
640152420313
76034033035
oct1646676425
9562126340
10245071125
11116377622
126a0a7699
133ba08100
14247958c5
15167ada00
hexe9b7d15

245071125 has 72 divisors (see below), whose sum is σ = 478749960. Its totient is φ = 120556800.

The previous prime is 245071117. The next prime is 245071159. The reversal of 245071125 is 521170542.

It can be written as a sum of positive squares in 12 ways, for example, as 216266436 + 28804689 = 14706^2 + 5367^2 .

It is not a de Polignac number, because 245071125 - 23 = 245071117 is a prime.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 189481 + ... + 190769.

It is an arithmetic number, because the mean of its divisors is an integer number (6649305).

Almost surely, 2245071125 is an apocalyptic number.

245071125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

245071125 is a deficient number, since it is larger than the sum of its proper divisors (233678835).

245071125 is a wasteful number, since it uses less digits than its factorization.

245071125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 245071125 is about 15654.7476824125. The cubic root of 245071125 is about 625.7930200319.

The spelling of 245071125 in words is "two hundred forty-five million, seventy-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 169 195 225 325 375 507 585 845 975 1125 1289 1521 1625 2535 2925 3867 4225 4875 6445 7605 11601 12675 14625 16757 19335 21125 32225 38025 50271 58005 63375 83785 96675 150813 161125 190125 217841 251355 290025 418925 483375 653523 754065 1089205 1256775 1450125 1960569 2094625 3267615 3770325 5446025 6283875 9802845 16338075 18851625 27230125 49014225 81690375 245071125