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2277125 = 5318217
BaseRepresentation
bin1000101011111100000101
311021200121222
420223330011
51040332000
6120450125
725232564
oct10537405
94250558
102277125
111315924
12919945
13619616
14433bdb
152eea85
hex22bf05

2277125 has 8 divisors (see below), whose sum is σ = 2842008. Its totient is φ = 1821600.

The previous prime is 2277113. The next prime is 2277127. The reversal of 2277125 is 5217722.

2277125 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 4 ways, for example, as 277729 + 1999396 = 527^2 + 1414^2 .

It is not a de Polignac number, because 2277125 - 26 = 2277061 is a prime.

It is a super-3 number, since 3×22771253 = 35422716939333984375, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2277094 and 2277103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277127) 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 7 ways as a sum of consecutive naturals, for example, 8984 + ... + 9233.

It is an arithmetic number, because the mean of its divisors is an integer number (355251).

22277125 is an apocalyptic number.

2277125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2277125 is a deficient number, since it is larger than the sum of its proper divisors (564883).

2277125 is an equidigital number, since it uses as much as digits as its factorization.

2277125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18232 (or 18222 counting only the distinct ones).

The product of its digits is 1960, while the sum is 26.

The square root of 2277125 is about 1509.0145791211. The cubic root of 2277125 is about 131.5615426101.

The spelling of 2277125 in words is "two million, two hundred seventy-seven thousand, one hundred twenty-five".

Divisors: 1 5 25 125 18217 91085 455425 2277125