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2190249 = 32397613
BaseRepresentation
bin1000010110101110101001
311010021110100
420112232221
51030041444
6114540013
724421365
oct10265651
94107410
102190249
111266626
12897609
135b8c09
144102a5
152d3e69
hex216ba9

2190249 has 12 divisors (see below), whose sum is σ = 3176836. Its totient is φ = 1454112.

The previous prime is 2190233. The next prime is 2190269. The reversal of 2190249 is 9420912.

2190249 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 2 ways, for example, as 518400 + 1671849 = 720^2 + 1293^2 .

It is not a de Polignac number, because 2190249 - 24 = 2190233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2190269) 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 11 ways as a sum of consecutive naturals, for example, 3267 + ... + 3879.

22190249 is an apocalyptic number.

It is an amenable number.

2190249 is a deficient number, since it is larger than the sum of its proper divisors (986587).

2190249 is a wasteful number, since it uses less digits than its factorization.

2190249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2190249 is about 1479.9489856073. The cubic root of 2190249 is about 129.8667075599.

It can be divided in two parts, 219024 and 9, that multiplied together give a square (1971216 = 14042).

The spelling of 2190249 in words is "two million, one hundred ninety thousand, two hundred forty-nine".

Divisors: 1 3 9 397 613 1191 1839 3573 5517 243361 730083 2190249