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2220021000 = 23335382223
BaseRepresentation
bin1000010001010010…
…1101010100001000
312201201100202022000
42010110231110020
514021311133000
61004142431000
7106004603301
oct20424552410
95651322260
102220021000
11a3a1646aa
1251b592460
13294c214c2
14170bad7a8
15ced74000
hex8452d508

2220021000 has 128 divisors (see below), whose sum is σ = 7696166400. Its totient is φ = 591998400.

The previous prime is 2220020993. The next prime is 2220021029. The reversal of 2220021000 is 1200222.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 31 ways as a sum of consecutive naturals, for example, 14112 + ... + 68111.

It is an arithmetic number, because the mean of its divisors is an integer number (60126300).

Almost surely, 22220021000 is an apocalyptic number.

2220021000 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 2220021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848083200).

2220021000 is an abundant number, since it is smaller than the sum of its proper divisors (5476145400).

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

2220021000 is a wasteful number, since it uses less digits than its factorization.

2220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82253 (or 82233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220021000 is about 47117.0988071210. The cubic root of 2220021000 is about 1304.5248633612.

Adding to 2220021000 its reverse (1200222), we get a palindrome (2221221222).

The spelling of 2220021000 in words is "two billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 82223 164446 246669 328892 411115 493338 657784 740007 822230 986676 1233345 1480014 1644460 1973352 2055575 2220021 2466690 2960028 3288920 3700035 4111150 4440042 4933380 5920056 6166725 7400070 8222300 8880084 9866760 10277875 11100105 12333450 14800140 16444600 17760168 18500175 20555750 22200210 24666900 29600280 30833625 37000350 41111500 44400420 49333800 55500525 61667250 74000700 82223000 88800840 92500875 111001050 123334500 148001400 185001750 222002100 246669000 277502625 370003500 444004200 555005250 740007000 1110010500 2220021000