Search a number
-
+
2221010200 = 2352431012557
BaseRepresentation
bin1000010001100001…
…1110110100011000
312201210020000020001
42010120132310120
514022034311300
61004215542344
7106016163253
oct20430366430
95653200201
102221010200
11a3a77a922
1251b98a9b4
132951a9826
14170d8a09a
15ceebc16a
hex8461ed18

2221010200 has 96 divisors (see below), whose sum is σ = 5338341360. Its totient is φ = 858816000.

The previous prime is 2221010189. The next prime is 2221010257. The reversal of 2221010200 is 20101222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867322 + ... + 869878.

Almost surely, 22221010200 is an apocalyptic number.

2221010200 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 2221010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669170680).

2221010200 is an abundant number, since it is smaller than the sum of its proper divisors (3117331160).

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

2221010200 is a wasteful number, since it uses less digits than its factorization.

2221010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2708 counting only the distinct ones).

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

The square root of 2221010200 is about 47127.5948887698. The cubic root of 2221010200 is about 1304.7185919156.

Adding to 2221010200 its reverse (20101222), we get a palindrome (2241111422).

The spelling of 2221010200 in words is "two billion, two hundred twenty-one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 101 172 200 202 215 344 404 430 505 808 860 1010 1075 1720 2020 2150 2525 2557 4040 4300 4343 5050 5114 8600 8686 10100 10228 12785 17372 20200 20456 21715 25570 34744 43430 51140 63925 86860 102280 108575 109951 127850 173720 217150 219902 255700 258257 434300 439804 511400 516514 549755 868600 879608 1033028 1099510 1291285 2066056 2199020 2582570 2748775 4398040 5165140 5497550 6456425 10330280 10995100 11105051 12912850 21990200 22210102 25825700 44420204 51651400 55525255 88840408 111050510 222101020 277626275 444202040 555252550 1110505100 2221010200