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2220100000 = 25551492
BaseRepresentation
bin1000010001010100…
…0000100110100000
312201201111202122221
42010111000212200
514021321200000
61004144240424
7106005352516
oct20425004640
95651452587
102220100000
11a3a208a98
1251b610114
13294c4b451
14170bd04b6
15ced8c61a
hex845409a0

2220100000 has 108 divisors (see below), whose sum is σ = 5500089378. Its totient is φ = 882080000.

The previous prime is 2220099997. The next prime is 2220100033. The reversal of 2220100000 is 10222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 1903402384 + 316697616 = 43628^2 + 17796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14899926 + ... + 14900074.

Almost surely, 22220100000 is an apocalyptic number.

2220100000 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 2220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750044689).

2220100000 is an abundant number, since it is smaller than the sum of its proper divisors (3279989378).

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

2220100000 is an frugal number, since it uses more digits than its factorization.

2220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2220100000 is about 47117.9371365089. The cubic root of 2220100000 is about 1304.5403371250.

Adding to 2220100000 its reverse (10222), we get a palindrome (2220110222).

The spelling of 2220100000 in words is "two billion, two hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 149 160 200 250 298 400 500 596 625 745 800 1000 1192 1250 1490 2000 2384 2500 2980 3125 3725 4000 4768 5000 5960 6250 7450 10000 11920 12500 14900 18625 20000 22201 23840 25000 29800 37250 44402 50000 59600 74500 88804 93125 100000 111005 119200 149000 177608 186250 222010 298000 355216 372500 444020 465625 555025 596000 710432 745000 888040 931250 1110050 1490000 1776080 1862500 2220100 2775125 2980000 3552160 3725000 4440200 5550250 7450000 8880400 11100500 13875625 14900000 17760800 22201000 27751250 44402000 55502500 69378125 88804000 111005000 138756250 222010000 277512500 444020000 555025000 1110050000 2220100000