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2221100 = 2252719167
BaseRepresentation
bin1000011110010000101100
311011211202222
420132100230
51032033400
6115334512
724610340
oct10362054
94154688
102221100
111287822
128b1438
135c9c7b
1441b620
152dd185
hex21e42c

2221100 has 72 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 717120.

The previous prime is 2221097. The next prime is 2221111. The reversal of 2221100 is 11222.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13217 + ... + 13383.

22221100 is an apocalyptic number.

2221100 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 2221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2221100 is an abundant number, since it is smaller than the sum of its proper divisors (3611860).

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

2221100 is a wasteful number, since it uses less digits than its factorization.

2221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

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

The square root of 2221100 is about 1490.3355326905. The cubic root of 2221100 is about 130.4736175829.

Adding to 2221100 its reverse (11222), we get a palindrome (2232322).

The spelling of 2221100 in words is "two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 167 175 190 266 334 350 380 475 532 665 668 700 835 950 1169 1330 1670 1900 2338 2660 3173 3325 3340 4175 4676 5845 6346 6650 8350 11690 12692 13300 15865 16700 22211 23380 29225 31730 44422 58450 63460 79325 88844 111055 116900 158650 222110 317300 444220 555275 1110550 2221100