Search a number
-
+
2022012200 = 2352133125087
BaseRepresentation
bin111100010000101…
…0111010100101000
312012220202212021202
41320201113110220
513120113342300
6532350423332
7101051551205
oct17041272450
95186685252
102022012200
1194841176a
12485201b48
13262bb3630
14152788cac
15bc7aead5
hex78857528

2022012200 has 96 divisors (see below), whose sum is σ = 5226332160. Its totient is φ = 722476800.

The previous prime is 2022012199. The next prime is 2022012227. The reversal of 2022012200 is 22102202.

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, 68057 + ... + 93143.

It is an arithmetic number, because the mean of its divisors is an integer number (54440960).

Almost surely, 22022012200 is an apocalyptic number.

2022012200 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 2022012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613166080).

2022012200 is an abundant number, since it is smaller than the sum of its proper divisors (3204319960).

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

2022012200 is a wasteful number, since it uses less digits than its factorization.

2022012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25147 (or 25138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2022012200 is about 44966.7899677084. The cubic root of 2022012200 is about 1264.5264674534.

Adding to 2022012200 its reverse (22102202), we get a palindrome (2044114402).

The spelling of 2022012200 in words is "two billion, twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 10075 16120 20150 25087 40300 50174 80600 100348 125435 200696 250870 326131 501740 627175 652262 777697 1003480 1254350 1304524 1555394 1630655 2508700 2609048 3110788 3261310 3888485 5017400 6221576 6522620 7776970 8153275 10110061 13045240 15553940 16306550 19442425 20220122 31107880 32613100 38884850 40440244 50550305 65226200 77769700 80880488 101100610 155539400 202201220 252751525 404402440 505503050 1011006100 2022012200