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2272825 = 52229397
BaseRepresentation
bin1000101010111000111001
311021110201201
420222320321
51040212300
6120414201
725214212
oct10527071
94243651
102272825
111312675
12917361
13617689
14432409
152ed66a
hex22ae39

2272825 has 12 divisors (see below), whose sum is σ = 2837740. Its totient is φ = 1805760.

The previous prime is 2272819. The next prime is 2272843. The reversal of 2272825 is 5282722.

2272825 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 94249 + 2178576 = 307^2 + 1476^2 .

It is not a de Polignac number, because 2272825 - 29 = 2272313 is a prime.

2272825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2272793 and 2272802.

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 11 ways as a sum of consecutive naturals, for example, 5527 + ... + 5923.

22272825 is an apocalyptic number.

2272825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2272825 is a deficient number, since it is larger than the sum of its proper divisors (564915).

2272825 is a wasteful number, since it uses less digits than its factorization.

2272825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 631 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 2272825 is about 1507.5891350099. The cubic root of 2272825 is about 131.4786791902.

The spelling of 2272825 in words is "two million, two hundred seventy-two thousand, eight hundred twenty-five".

Divisors: 1 5 25 229 397 1145 1985 5725 9925 90913 454565 2272825