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2197641 = 317411051
BaseRepresentation
bin1000011000100010001001
311010122121010
420120202021
51030311031
6115034133
724452055
oct10304211
94118533
102197641
111271136
1289b949
135bc3a4
14412c65
152d6246
hex218889

2197641 has 16 divisors (see below), whose sum is σ = 3181248. Its totient is φ = 1344000.

The previous prime is 2197633. The next prime is 2197651. The reversal of 2197641 is 1467912.

It is a happy number.

It is not a de Polignac number, because 2197641 - 23 = 2197633 is a prime.

It is an Ulam number.

It is a Curzon number.

2197641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2197599 and 2197608.

It is not an unprimeable number, because it can be changed into a prime (2197631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566 + ... + 2616.

It is an arithmetic number, because the mean of its divisors is an integer number (198828).

22197641 is an apocalyptic number.

It is an amenable number.

2197641 is a deficient number, since it is larger than the sum of its proper divisors (983607).

2197641 is a wasteful number, since it uses less digits than its factorization.

2197641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its digits is 3024, while the sum is 30.

The square root of 2197641 is about 1482.4442653941. Note that the first 3 decimals coincide. The cubic root of 2197641 is about 130.0126417686.

The spelling of 2197641 in words is "two million, one hundred ninety-seven thousand, six hundred forty-one".

Divisors: 1 3 17 41 51 123 697 1051 2091 3153 17867 43091 53601 129273 732547 2197641