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2190195 = 325717409
BaseRepresentation
bin1000010110101101110011
311010021101100
420112231303
51030041240
6114535443
724421260
oct10265563
94107340
102190195
111266587
12897583
135b8b97
14410267
152d3e30
hex216b73

2190195 has 48 divisors (see below), whose sum is σ = 4605120. Its totient is φ = 940032.

The previous prime is 2190193. The next prime is 2190203. The reversal of 2190195 is 5910912.

It is a happy number.

It is not a de Polignac number, because 2190195 - 21 = 2190193 is a prime.

2190195 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2190191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5151 + ... + 5559.

It is an arithmetic number, because the mean of its divisors is an integer number (95940).

22190195 is an apocalyptic number.

2190195 is an abundant number, since it is smaller than the sum of its proper divisors (2414925).

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

2190195 is a wasteful number, since it uses less digits than its factorization.

2190195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 2190195 is about 1479.9307416227. The cubic root of 2190195 is about 129.8656402749.

It can be divided in two parts, 219019 and 5, that added together give a square (219024 = 4682).

The spelling of 2190195 in words is "two million, one hundred ninety thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 409 595 765 1071 1227 1785 2045 2863 3681 5355 6135 6953 8589 14315 18405 20859 25767 34765 42945 48671 62577 104295 128835 146013 243355 312885 438039 730065 2190195