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226800 = 2434527
BaseRepresentation
bin110111010111110000
3102112010000
4313113300
524224200
64510000
71633140
oct672760
9375100
10226800
11145442
12ab300
137c302
145c920
1547300
hex375f0

226800 has 150 divisors (see below), whose sum is σ = 930248. Its totient is φ = 51840.

The previous prime is 226799. The next prime is 226813. The reversal of 226800 is 8622.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 29 ways as a sum of consecutive naturals, for example, 32397 + ... + 32403.

2226800 is an apocalyptic number.

226800 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 226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465124).

226800 is an abundant number, since it is smaller than the sum of its proper divisors (703448).

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

226800 is a wasteful number, since it uses less digits than its factorization.

226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 226800 is about 476.2352359916. The cubic root of 226800 is about 60.9837814089.

The spelling of 226800 in words is "two hundred twenty-six thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 81 84 90 100 105 108 112 120 126 135 140 144 150 162 168 175 180 189 200 210 216 225 240 252 270 280 300 315 324 336 350 360 378 400 405 420 432 450 504 525 540 560 567 600 630 648 675 700 720 756 810 840 900 945 1008 1050 1080 1134 1200 1260 1296 1350 1400 1512 1575 1620 1680 1800 1890 2025 2100 2160 2268 2520 2700 2800 2835 3024 3150 3240 3600 3780 4050 4200 4536 4725 5040 5400 5670 6300 6480 7560 8100 8400 9072 9450 10800 11340 12600 14175 15120 16200 18900 22680 25200 28350 32400 37800 45360 56700 75600 113400 226800