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2289441 = 371121753
BaseRepresentation
bin1000101110111100100001
311022022112010
420232330201
51041230231
6121023133
725313520
oct10567441
94268463
102289441
111324100
12924aa9
136220cb
144384b7
15303546
hex22ef21

2289441 has 48 divisors (see below), whose sum is σ = 4136832. Its totient is φ = 1098240.

The previous prime is 2289437. The next prime is 2289461. The reversal of 2289441 is 1449822.

2289441 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 2289441 - 22 = 2289437 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2289399 and 2289408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289401) 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 47 ways as a sum of consecutive naturals, for example, 43171 + ... + 43223.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

22289441 is an apocalyptic number.

2289441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2289441 is a deficient number, since it is larger than the sum of its proper divisors (1847391).

2289441 is a wasteful number, since it uses less digits than its factorization.

2289441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2289441 is about 1513.0898849705. The cubic root of 2289441 is about 131.7983030738.

It can be divided in two parts, 228 and 9441, that added together give a palindrome (9669).

The spelling of 2289441 in words is "two million, two hundred eighty-nine thousand, four hundred forty-one".

Divisors: 1 3 7 11 17 21 33 51 53 77 119 121 159 187 231 357 363 371 561 583 847 901 1113 1309 1749 2057 2541 2703 3927 4081 6171 6307 6413 9911 12243 14399 18921 19239 29733 43197 44891 69377 109021 134673 208131 327063 763147 2289441