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2220013320 = 233573771429
BaseRepresentation
bin1000010001010010…
…1011011100001000
312201201100100202120
42010110223130020
514021310411240
61004142331240
7106004542020
oct20424533410
95651310676
102220013320
11a3a159958
1251b589b20
13294c1ab65
14170baaa80
15ced71ad0
hex8452b708

2220013320 has 128 divisors (see below), whose sum is σ = 7817299200. Its totient is φ = 493710336.

The previous prime is 2220013319. The next prime is 2220013343. The reversal of 2220013320 is 233100222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220013320.

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, 4635 + ... + 66794.

It is an arithmetic number, because the mean of its divisors is an integer number (61072650).

Almost surely, 22220013320 is an apocalyptic number.

2220013320 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 2220013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908649600).

2220013320 is an abundant number, since it is smaller than the sum of its proper divisors (5597285880).

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

2220013320 is a wasteful number, since it uses less digits than its factorization.

2220013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71487 (or 71483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2220013320 is about 47117.0173079748. The cubic root of 2220013320 is about 1304.5233590567.

Adding to 2220013320 its reverse (233100222), we get a palindrome (2453113542).

The spelling of 2220013320 in words is "two billion, two hundred twenty million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 71429 142858 214287 285716 357145 428574 500003 571432 714290 857148 1000006 1071435 1428580 1500009 1714296 2000012 2142870 2500015 2642873 2857160 3000018 4000024 4285740 5000030 5285746 6000036 7500045 7928619 8571480 10000060 10571492 12000072 13214365 15000090 15857238 18500111 20000120 21142984 26428730 30000180 31714476 37000222 39643095 52857460 55500333 60000360 63428952 74000444 79286190 92500555 105714920 111000666 148000888 158572380 185001110 222001332 277501665 317144760 370002220 444002664 555003330 740004440 1110006660 2220013320