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8220000 = 25354137
BaseRepresentation
bin11111010110110101100000
3120110121201110
4133112311200
54101020000
6452103320
7126604005
oct37266540
916417643
108220000
114704898
122904b40
13191a609
14113d8ac
15ac5850
hex7d6d60

8220000 has 120 divisors (see below), whose sum is σ = 27160056. Its totient is φ = 2176000.

The previous prime is 8219983. The next prime is 8220013. The reversal of 8220000 is 228.

It is a tau number, because it is divible by the number of its divisors (120).

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 nialpdrome in base 10.

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 19 ways as a sum of consecutive naturals, for example, 59932 + ... + 60068.

Almost surely, 28220000 is an apocalyptic number.

8220000 is a gapful number since it is divisible by the number (80) 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 8220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13580028).

8220000 is an abundant number, since it is smaller than the sum of its proper divisors (18940056).

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

8220000 is a wasteful number, since it uses less digits than its factorization.

8220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8220000 is about 2867.0542373663. The cubic root of 8220000 is about 201.8167799151.

Adding to 8220000 its reverse (228), we get a palindrome (8220228).

The spelling of 8220000 in words is "eight million, two hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 137 150 160 200 240 250 274 300 375 400 411 480 500 548 600 625 685 750 800 822 1000 1096 1200 1250 1370 1500 1644 1875 2000 2055 2192 2400 2500 2740 3000 3288 3425 3750 4000 4110 4384 5000 5480 6000 6576 6850 7500 8220 10000 10275 10960 12000 13152 13700 15000 16440 17125 20000 20550 21920 27400 30000 32880 34250 41100 51375 54800 60000 65760 68500 82200 85625 102750 109600 137000 164400 171250 205500 256875 274000 328800 342500 411000 513750 548000 685000 822000 1027500 1370000 1644000 2055000 2740000 4110000 8220000