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33145125 = 353132523
BaseRepresentation
bin111111001110…
…0000100100101
32022100221120020
41332130010211
531441121000
63142225353
7551505006
oct176340445
968327506
1033145125
1117789472
12b125259
136b36700
14458b1ad
152d9aba0
hex1f9c125

33145125 has 48 divisors (see below), whose sum is σ = 59836608. Its totient is φ = 16286400.

The previous prime is 33145117. The next prime is 33145127. The reversal of 33145125 is 52154133.

It is not a de Polignac number, because 33145125 - 23 = 33145117 is a prime.

It is a super-2 number, since 2×331451252 = 2197198622531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33145095 and 33145104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33145127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63114 + ... + 63636.

It is an arithmetic number, because the mean of its divisors is an integer number (1246596).

Almost surely, 233145125 is an apocalyptic number.

It is an amenable number.

33145125 is a deficient number, since it is larger than the sum of its proper divisors (26691483).

33145125 is a wasteful number, since it uses less digits than its factorization.

33145125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 544 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 33145125 is about 5757.1802994174. The cubic root of 33145125 is about 321.2229407884. Note that the first 3 decimals are identical.

Adding to 33145125 its reverse (52154133), we get a palindrome (85299258).

The spelling of 33145125 in words is "thirty-three million, one hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 169 195 325 375 507 523 845 975 1569 1625 2535 2615 4225 4875 6799 7845 12675 13075 20397 21125 33995 39225 63375 65375 88387 101985 169975 196125 265161 441935 509925 849875 1325805 2209675 2549625 6629025 11048375 33145125