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2195984 = 24722801
BaseRepresentation
bin1000011000001000010000
311010120022202
420120020100
51030232414
6115022332
724444200
oct10301020
94116282
102195984
11126a96a
1289a9a8
135bb6cb
14412400
152d59de
hex218210

2195984 has 30 divisors (see below), whose sum is σ = 4951134. Its totient is φ = 940800.

The previous prime is 2195969. The next prime is 2195989. The reversal of 2195984 is 4895912.

2195984 is digitally balanced in base 5, 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 only one way, i.e., 1882384 + 313600 = 1372^2 + 560^2 .

It is not an unprimeable number, because it can be changed into a prime (2195989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 617 + ... + 2184.

22195984 is an apocalyptic number.

It is an amenable number.

2195984 is an abundant number, since it is smaller than the sum of its proper divisors (2755150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2195984 is a wasteful number, since it uses less digits than its factorization.

2195984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2810 counting only the distinct ones).

The product of its digits is 25920, while the sum is 38.

The square root of 2195984 is about 1481.8852857087. The cubic root of 2195984 is about 129.9799574624.

The spelling of 2195984 in words is "two million, one hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 2801 5602 11204 19607 22408 39214 44816 78428 137249 156856 274498 313712 548996 1097992 2195984