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4226600 = 235273019
BaseRepresentation
bin10000000111111000101000
321221201210202
4100013320220
52040222400
6230331332
750632310
oct20077050
97851722
104226600
112427564
1214b9b48
13b4ca61
147c0440
155874d5
hex407e28

4226600 has 48 divisors (see below), whose sum is σ = 11234400. Its totient is φ = 1448640.

The previous prime is 4226543. The next prime is 4226611. The reversal of 4226600 is 66224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110 + ... + 2909.

It is an arithmetic number, because the mean of its divisors is an integer number (234050).

Almost surely, 24226600 is an apocalyptic number.

4226600 is a gapful number since it is divisible by the number (40) 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 4226600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617200).

4226600 is an abundant number, since it is smaller than the sum of its proper divisors (7007800).

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

4226600 is a wasteful number, since it uses less digits than its factorization.

4226600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4226600 is about 2055.8696456731. The cubic root of 4226600 is about 161.6827607648.

The spelling of 4226600 in words is "four million, two hundred twenty-six thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3019 6038 12076 15095 21133 24152 30190 42266 60380 75475 84532 105665 120760 150950 169064 211330 301900 422660 528325 603800 845320 1056650 2113300 4226600