Search a number
-
+
225006525 = 33523110753
BaseRepresentation
bin11010110100101…
…01001110111101
3120200101111221000
431122111032331
5430100202100
634154400513
75401344462
oct1532251675
9520344830
10225006525
11106012807
1263430139
1337801473
1421c51669
1514b48900
hexd6953bd

225006525 has 48 divisors (see below), whose sum is σ = 426718720. Its totient is φ = 116121600.

The previous prime is 225006521. The next prime is 225006527. The reversal of 225006525 is 525600522.

225006525 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 652 + 5 = 666.

It is not a de Polignac number, because 225006525 - 22 = 225006521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225006521) 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, 15549 + ... + 26301.

Almost surely, 2225006525 is an apocalyptic number.

225006525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225006525 is a deficient number, since it is larger than the sum of its proper divisors (201712195).

225006525 is a wasteful number, since it uses less digits than its factorization.

225006525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10803 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 225006525 is about 15000.2174984231. The cubic root of 225006525 is about 608.2260789624.

The spelling of 225006525 in words is "two hundred twenty-five million, six thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 93 135 155 225 279 465 675 775 837 1395 2325 4185 6975 10753 20925 32259 53765 96777 161295 268825 290331 333343 483885 806475 1000029 1451655 1666715 2419425 3000087 5000145 7258275 8333575 9000261 15000435 25000725 45001305 75002175 225006525