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2221103120 = 245101274889
BaseRepresentation
bin1000010001100011…
…0101100000010000
312201210101201200112
42010120311200100
514022100244440
61004221540452
7106020031205
oct20430654020
95653351615
102221103120
11a3a833715
1251ba14728
1329520cc02
14170db1cac
15ceed9965
hex84635810

2221103120 has 40 divisors (see below), whose sum is σ = 5215213080. Its totient is φ = 879641600.

The previous prime is 2221103119. The next prime is 2221103149. The reversal of 2221103120 is 213011222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1317980416 + 903122704 = 36304^2 + 30052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2221103095 and 2221103104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129365 + ... + 145524.

It is an arithmetic number, because the mean of its divisors is an integer number (130380327).

Almost surely, 22221103120 is an apocalyptic number.

2221103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221103120 is an abundant number, since it is smaller than the sum of its proper divisors (2994109960).

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

2221103120 is a wasteful number, since it uses less digits than its factorization.

2221103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275003 (or 274997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2221103120 is about 47128.5807127692. The cubic root of 2221103120 is about 1304.7367867534.

Adding to 2221103120 its reverse (213011222), we get a palindrome (2434114342).

The spelling of 2221103120 in words is "two billion, two hundred twenty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 274889 549778 1099556 1374445 2199112 2748890 4398224 5497780 10995560 21991120 27763789 55527578 111055156 138818945 222110312 277637890 444220624 555275780 1110551560 2221103120