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2226000 = 24353753
BaseRepresentation
bin1000011111011101010000
311012002111110
420133131100
51032213000
6115413320
724630540
oct10373520
94162443
102226000
111290477
128b4240
135cc27a
1441d320
152de850
hex21f750

2226000 has 160 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 499200.

The previous prime is 2225999. The next prime is 2226001. The reversal of 2226000 is 6222.

2226000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2225999) and next prime (2226001).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (2226001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41974 + ... + 42026.

22226000 is an apocalyptic number.

2226000 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 2226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

2226000 is an abundant number, since it is smaller than the sum of its proper divisors (6130608).

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

2226000 is a wasteful number, since it uses less digits than its factorization.

2226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2226000 is about 1491.9785521247. The cubic root of 2226000 is about 130.5694936748.

The spelling of 2226000 in words is "two million, two hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 53 56 60 70 75 80 84 100 105 106 112 120 125 140 150 159 168 175 200 210 212 240 250 265 280 300 318 336 350 371 375 400 420 424 500 525 530 560 600 636 700 742 750 795 840 848 875 1000 1050 1060 1113 1200 1272 1325 1400 1484 1500 1590 1680 1750 1855 2000 2100 2120 2226 2544 2625 2650 2800 2968 3000 3180 3500 3710 3975 4200 4240 4452 5250 5300 5565 5936 6000 6360 6625 7000 7420 7950 8400 8904 9275 10500 10600 11130 12720 13250 14000 14840 15900 17808 18550 19875 21000 21200 22260 26500 27825 29680 31800 37100 39750 42000 44520 46375 53000 55650 63600 74200 79500 89040 92750 106000 111300 139125 148400 159000 185500 222600 278250 318000 371000 445200 556500 742000 1113000 2226000