Search a number
-
+
4222022200 = 23521110119001
BaseRepresentation
bin1111101110100110…
…1111001000111000
3101220020110221122121
43323221233020320
532121314202300
61534540331024
7206424411424
oct37351571070
911806427577
104222022200
111877248850
12999b43a74
135239196b6
142c0a29b84
1519a9ce81a
hexfba6f238

4222022200 has 96 divisors (see below), whose sum is σ = 10815178320. Its totient is φ = 1520000000.

The previous prime is 4222022183. The next prime is 4222022213. The reversal of 4222022200 is 22202224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212700 + ... + 231700.

Almost surely, 24222022200 is an apocalyptic number.

4222022200 is a gapful number since it is divisible by the number (40) 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 4222022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407589160).

4222022200 is an abundant number, since it is smaller than the sum of its proper divisors (6593156120).

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

4222022200 is a wasteful number, since it uses less digits than its factorization.

4222022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19129 (or 19120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4222022200 is about 64977.0898086395. The cubic root of 4222022200 is about 1616.2436720014.

Adding to 4222022200 its reverse (22202224), we get a palindrome (4244224424).

The spelling of 4222022200 in words is "four billion, two hundred twenty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 19001 20200 22220 27775 38002 44440 55550 76004 95005 111100 152008 190010 209011 222200 380020 418022 475025 760040 836044 950050 1045055 1672088 1900100 1919101 2090110 3800200 3838202 4180220 5225275 7676404 8360440 9595505 10450550 15352808 19191010 20901100 21110111 38382020 41802200 42220222 47977525 76764040 84440444 95955050 105550555 168880888 191910100 211101110 383820200 422202220 527752775 844404440 1055505550 2111011100 4222022200