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2158200 = 23325211109
BaseRepresentation
bin1000001110111001111000
311001122111100
420032321320
51023030300
6114131400
724226062
oct10167170
94048440
102158200
111244540
12880b60
135a7455
14402732
152c9700
hex20ee78

2158200 has 144 divisors (see below), whose sum is σ = 7979400. Its totient is φ = 518400.

The previous prime is 2158183. The next prime is 2158223. The reversal of 2158200 is 28512.

2158200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 19746 + ... + 19854.

22158200 is an apocalyptic number.

2158200 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 2158200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989700).

2158200 is an abundant number, since it is smaller than the sum of its proper divisors (5821200).

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

2158200 is a wasteful number, since it uses less digits than its factorization.

2158200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2158200 is about 1469.0813456034. The cubic root of 2158200 is about 129.2301641782.

The spelling of 2158200 in words is "two million, one hundred fifty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 109 110 120 132 150 165 180 198 200 218 220 225 264 275 300 327 330 360 396 436 440 450 495 545 550 600 654 660 792 825 872 900 981 990 1090 1100 1199 1308 1320 1635 1650 1800 1962 1980 2180 2200 2398 2475 2616 2725 3270 3300 3597 3924 3960 4360 4796 4905 4950 5450 5995 6540 6600 7194 7848 8175 9592 9810 9900 10791 10900 11990 13080 14388 16350 17985 19620 19800 21582 21800 23980 24525 28776 29975 32700 35970 39240 43164 47960 49050 53955 59950 65400 71940 86328 89925 98100 107910 119900 143880 179850 196200 215820 239800 269775 359700 431640 539550 719400 1079100 2158200