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22225013200 = 2452134274041
BaseRepresentation
bin10100101100101101…
…101100100111010000
32010100220021122120001
4110230231230213100
5331004100410300
614113211055344
71414520331565
oct245455544720
963326248501
1022225013200
119475493405
124383141554
1321326564b0
14110b9d486c
158a127916a
hex52cb6c9d0

22225013200 has 60 divisors (see below), whose sum is σ = 57502961068. Its totient is φ = 8206156800.

The previous prime is 22225013191. The next prime is 22225013233. The reversal of 22225013200 is 231052222.

It can be written as a sum of positive squares in 6 ways, for example, as 799079824 + 21425933376 = 28268^2 + 146376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2131821 + ... + 2142220.

Almost surely, 222225013200 is an apocalyptic number.

22225013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22225013200 is an abundant number, since it is smaller than the sum of its proper divisors (35277947868).

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

22225013200 is a wasteful number, since it uses less digits than its factorization.

22225013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274072 (or 4274061 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 22225013200 its reverse (231052222), we get a palindrome (22456065422).

The spelling of 22225013200 in words is "twenty-two billion, two hundred twenty-five million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 4274041 8548082 17096164 21370205 34192328 42740410 55562533 68384656 85480820 106851025 111125066 170961640 213702050 222250132 277812665 341923280 427404100 444500264 555625330 854808200 889000528 1111250660 1389063325 1709616400 2222501320 2778126650 4445002640 5556253300 11112506600 22225013200