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2242422200 = 2352311013581
BaseRepresentation
bin1000010110101000…
…1010010110111000
312210021111211222002
42011222022112320
514043030002300
61010302520132
7106366163024
oct20552122670
95707454862
102242422200
11a50874a97
12526b96048
13299765855
14173b61384
15d1ceb5d5
hex85a8a5b8

2242422200 has 96 divisors (see below), whose sum is σ = 5436616320. Its totient is φ = 859200000.

The previous prime is 2242422197. The next prime is 2242422223. The reversal of 2242422200 is 22242422.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 624410 + ... + 627990.

It is an arithmetic number, because the mean of its divisors is an integer number (56631420).

Almost surely, 22242422200 is an apocalyptic number.

2242422200 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 2242422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718308160).

2242422200 is an abundant number, since it is smaller than the sum of its proper divisors (3194194120).

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

2242422200 is a wasteful number, since it uses less digits than its factorization.

2242422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2242422200 is about 47354.2205088417. The cubic root of 2242422200 is about 1308.8979718522.

Adding to 2242422200 its reverse (22242422), we get a palindrome (2264664622).

The spelling of 2242422200 in words is "two billion, two hundred forty-two million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 101 124 155 200 202 248 310 404 505 620 775 808 1010 1240 1550 2020 2525 3100 3131 3581 4040 5050 6200 6262 7162 10100 12524 14324 15655 17905 20200 25048 28648 31310 35810 62620 71620 78275 89525 111011 125240 143240 156550 179050 222022 313100 358100 361681 444044 555055 626200 716200 723362 888088 1110110 1446724 1808405 2220220 2775275 2893448 3616810 4440440 5550550 7233620 9042025 11101100 11212111 14467240 18084050 22202200 22424222 36168100 44848444 56060555 72336200 89696888 112121110 224242220 280302775 448484440 560605550 1121211100 2242422200