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2220102000 = 24335341113
BaseRepresentation
bin1000010001010100…
…0001000101110000
312201201111212102000
42010111001011300
514021321231000
61004144254000
7106005361404
oct20425010560
95651455360
102220102000
11a3a20a546
1251b611300
13294c4c32c
14170bd1104
15ced8d000
hex84541170

2220102000 has 160 divisors (see below), whose sum is σ = 7953092160. Its totient is φ = 592012800.

The previous prime is 2220101999. The next prime is 2220102037. The reversal of 2220102000 is 2010222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33444 + ... + 74556.

It is an arithmetic number, because the mean of its divisors is an integer number (49706826).

Almost surely, 22220102000 is an apocalyptic number.

2220102000 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 2220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976546080).

2220102000 is an abundant number, since it is smaller than the sum of its proper divisors (5732990160).

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

2220102000 is a wasteful number, since it uses less digits than its factorization.

2220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41145 (or 41123 counting only the distinct ones).

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

The square root of 2220102000 is about 47117.9583598441. The cubic root of 2220102000 is about 1304.5407288611.

Adding to 2220102000 its reverse (2010222), we get a palindrome (2222112222).

The spelling of 2220102000 in words is "two billion, two hundred twenty million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 41113 54000 82226 123339 164452 205565 246678 328904 370017 411130 493356 616695 657808 740034 822260 986712 1027825 1110051 1233390 1480068 1644520 1850085 1973424 2055650 2220102 2466780 2960136 3083475 3289040 3700170 4111300 4440204 4933560 5139125 5550255 5920272 6166950 7400340 8222600 8880408 9250425 9867120 10278250 11100510 12333900 14800680 15417375 16445200 17760816 18500850 20556500 22201020 24667800 27751275 29601360 30834750 37001700 41113000 44402040 46252125 49335600 55502550 61669500 74003400 82226000 88804080 92504250 111005100 123339000 138756375 148006800 185008500 222010200 246678000 277512750 370017000 444020400 555025500 740034000 1110051000 2220102000