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2185000 = 23541923
BaseRepresentation
bin1000010101011100101000
311010000020221
420111130220
51024410000
6114455424
724400156
oct10253450
94100227
102185000
111262694
12894574
135b66cc
1440c3d6
152d261a
hex215728

2185000 has 80 divisors (see below), whose sum is σ = 5623200. Its totient is φ = 792000.

The previous prime is 2184997. The next prime is 2185009. The reversal of 2185000 is 5812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2185009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94989 + ... + 95011.

It is an arithmetic number, because the mean of its divisors is an integer number (70290).

22185000 is an apocalyptic number.

2185000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811600).

2185000 is an abundant number, since it is smaller than the sum of its proper divisors (3438200).

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

2185000 is a wasteful number, since it uses less digits than its factorization.

2185000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2185000 is about 1478.1745499094. The cubic root of 2185000 is about 129.7628813705.

The spelling of 2185000 in words is "two million, one hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 125 152 184 190 200 230 250 380 437 460 475 500 575 625 760 874 920 950 1000 1150 1250 1748 1900 2185 2300 2375 2500 2875 3496 3800 4370 4600 4750 5000 5750 8740 9500 10925 11500 11875 14375 17480 19000 21850 23000 23750 28750 43700 47500 54625 57500 87400 95000 109250 115000 218500 273125 437000 546250 1092500 2185000