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2225925 = 325213761
BaseRepresentation
bin1000011111011100000101
311012002101200
420133130011
51032212200
6115413113
724630402
oct10373405
94162350
102225925
111290409
128b4199
135cc220
1441d2a9
152de800
hex21f705

2225925 has 36 divisors (see below), whose sum is σ = 4299204. Its totient is φ = 1094400.

The previous prime is 2225887. The next prime is 2225959. The reversal of 2225925 is 5295222.

2225925 = 1862 + 1872 + ... + 2352.

2225925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 933156 + 1292769 = 966^2 + 1137^2 .

It is not a de Polignac number, because 2225925 - 212 = 2221829 is a prime.

It is a d-powerful number, because it can be written as 2 + 213 + 215 + 55 + 94 + 221 + 57 .

2225925 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2545 + ... + 3305.

22225925 is an apocalyptic number.

2225925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225925 is a deficient number, since it is larger than the sum of its proper divisors (2073279).

2225925 is a wasteful number, since it uses less digits than its factorization.

2225925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2225925 is about 1491.9534175034. The cubic root of 2225925 is about 130.5680272444.

The spelling of 2225925 in words is "two million, two hundred twenty-five thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 761 975 2283 2925 3805 6849 9893 11415 19025 29679 34245 49465 57075 89037 148395 171225 247325 445185 741975 2225925