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2246125 = 53717151
BaseRepresentation
bin1000100100010111101101
311020010002211
420210113231
51033334000
6120050421
725043320
oct10442755
94203084
102246125
1112a4602
12903a11
1360848b
144267b7
152e57ba
hex2245ed

2246125 has 32 divisors (see below), whose sum is σ = 3414528. Its totient is φ = 1440000.

The previous prime is 2246117. The next prime is 2246129. The reversal of 2246125 is 5216422.

2246125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2246125 - 23 = 2246117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2246096 and 2246105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14800 + ... + 14950.

It is an arithmetic number, because the mean of its divisors is an integer number (106704).

22246125 is an apocalyptic number.

2246125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2246125 is a deficient number, since it is larger than the sum of its proper divisors (1168403).

2246125 is a wasteful number, since it uses less digits than its factorization.

2246125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 2246125 is about 1498.7077767197. The cubic root of 2246125 is about 130.9618014999.

The spelling of 2246125 in words is "two million, two hundred forty-six thousand, one hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 125 151 175 425 595 755 875 1057 2125 2567 2975 3775 5285 12835 14875 17969 18875 26425 64175 89845 132125 320875 449225 2246125