Search a number
-
+
2241222200 = 235271794169
BaseRepresentation
bin1000010110010110…
…0101011000111000
312210012020212212122
42011211211120320
514042223102300
61010221100412
7106353034340
oct20545453070
95705225778
102241222200
11a50125458
125266b7708
132994355a9
1417392bd20
15d1b60c85
hex85965638

2241222200 has 96 divisors (see below), whose sum is σ = 6305623200. Its totient is φ = 723210240.

The previous prime is 2241222199. The next prime is 2241222209. The reversal of 2241222200 is 22221422.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241222209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23285 + ... + 70884.

It is an arithmetic number, because the mean of its divisors is an integer number (65683575).

Almost surely, 22241222200 is an apocalyptic number.

2241222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241222200 is an abundant number, since it is smaller than the sum of its proper divisors (4064401000).

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

2241222200 is a wasteful number, since it uses less digits than its factorization.

2241222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94209 (or 94200 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2241222200 is about 47341.5483481476. The cubic root of 2241222200 is about 1308.6644508818.

Adding to 2241222200 its reverse (22221422), we get a palindrome (2263443622).

It can be divided in two parts, 2241222 and 200, that added together give a palindrome (2241422).

The spelling of 2241222200 in words is "two billion, two hundred forty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 94169 188338 376676 470845 659183 753352 941690 1318366 1600873 1883380 2354225 2636732 3201746 3295915 3766760 4708450 5273464 6403492 6591830 8004365 9416900 11206111 12806984 13183660 16008730 16479575 18833800 22412222 26367320 32017460 32959150 40021825 44824444 56030555 64034920 65918300 80043650 89648888 112061110 131836600 160087300 224122220 280152775 320174600 448244440 560305550 1120611100 2241222200