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228795000 = 2335472179
BaseRepresentation
bin11011010001100…
…10001001111000
3120221111222201220
431220302021320
5432032420000
634411512040
75445503550
oct1550621170
9527458656
10228795000
11108170085
1264758620
1338529975
142255a160
15151461a0
hexda32278

228795000 has 160 divisors (see below), whose sum is σ = 817238400. Its totient is φ = 52272000.

The previous prime is 228794989. The next prime is 228795023. The reversal of 228795000 is 597822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103911 + ... + 106089.

It is an arithmetic number, because the mean of its divisors is an integer number (5107740).

Almost surely, 2228795000 is an apocalyptic number.

228795000 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 228795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408619200).

228795000 is an abundant number, since it is smaller than the sum of its proper divisors (588443400).

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

228795000 is a wasteful number, since it uses less digits than its factorization.

228795000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 228795000 is about 15125.9710432091. The cubic root of 228795000 is about 611.6207013630.

The spelling of 228795000 in words is "two hundred twenty-eight million, seven hundred ninety-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2179 2500 2625 3000 3500 3750 4200 4358 4375 5000 5250 6537 7000 7500 8716 8750 10500 10895 13074 13125 15000 15253 17432 17500 21000 21790 26148 26250 30506 32685 35000 43580 45759 52296 52500 54475 61012 65370 76265 87160 91518 105000 108950 122024 130740 152530 163425 183036 217900 228795 261480 272375 305060 326850 366072 381325 435800 457590 544750 610120 653700 762650 817125 915180 1089500 1143975 1307400 1361875 1525300 1634250 1830360 1906625 2179000 2287950 2723750 3050600 3268500 3813250 4085625 4575900 5447500 5719875 6537000 7626500 8171250 9151800 9533125 10895000 11439750 15253000 16342500 19066250 22879500 28599375 32685000 38132500 45759000 57198750 76265000 114397500 228795000