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2220021100 = 22521119310457
BaseRepresentation
bin1000010001010010…
…1101010101101100
312201201100202102201
42010110231111230
514021311133400
61004142431244
7106004603503
oct20424552554
95651322381
102220021100
11a3a164790
1251b592524
13294c2156b
14170bad83a
15ced7406a
hex8452d56c

2220021100 has 72 divisors (see below), whose sum is σ = 5283130608. Its totient is φ = 803020800.

The previous prime is 2220021061. The next prime is 2220021101. The reversal of 2220021100 is 11200222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2220021101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207072 + ... + 217528.

It is an arithmetic number, because the mean of its divisors is an integer number (73376814).

Almost surely, 22220021100 is an apocalyptic number.

2220021100 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 2220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641565304).

2220021100 is an abundant number, since it is smaller than the sum of its proper divisors (3063109508).

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

2220021100 is a wasteful number, since it uses less digits than its factorization.

2220021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10675 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2220021100 is about 47117.0998683068. The cubic root of 2220021100 is about 1304.5248829485.

Adding to 2220021100 its reverse (11200222), we get a palindrome (2231221322).

The spelling of 2220021100 in words is "two billion, two hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 193 220 275 386 550 772 965 1100 1930 2123 3860 4246 4825 8492 9650 10457 10615 19300 20914 21230 41828 42460 52285 53075 104570 106150 115027 209140 212300 230054 261425 460108 522850 575135 1045700 1150270 2018201 2300540 2875675 4036402 5751350 8072804 10091005 11502700 20182010 22200211 40364020 44400422 50455025 88800844 100910050 111001055 201820100 222002110 444004220 555005275 1110010550 2220021100