Search a number
-
+
201222202112200 = 23521006111010561
BaseRepresentation
bin101101110000001010110001…
…111000001011100011001000
3222101110122200020112022211201
4231300022301320023203020
5202333311032220042300
61551544111542233544
760245552516001613
oct5560126170134310
9871418606468751
10201222202112200
115912a9472709a5
121a69a2644258b4
138838231542389
1437992c6aa117a
15183e3b7ecd66a
hexb702b1e0b8c8

201222202112200 has 24 divisors (see below), whose sum is σ = 467841619911330. Its totient is φ = 80488880844800.

The previous prime is 201222202112177. The next prime is 201222202112201. The reversal of 201222202112200 is 2211202222102.

It can be written as a sum of positive squares in 3 ways, for example, as 105129627719076 + 96092574393124 = 10253274^2 + 9802682^2 .

It is a super-2 number, since 2×2012222021122002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201222202112201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503055505081 + ... + 503055505480.

Almost surely, 2201222202112200 is an apocalyptic number.

201222202112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222202112200 is an abundant number, since it is smaller than the sum of its proper divisors (266619417799130).

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

201222202112200 is a wasteful number, since it uses less digits than its factorization.

201222202112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006111010577 (or 1006111010568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 201222202112200 its reverse (2211202222102), we get a palindrome (203433404334302).

The spelling of 201222202112200 in words is "two hundred one trillion, two hundred twenty-two billion, two hundred two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1006111010561 2012222021122 4024444042244 5030555052805 8048888084488 10061110105610 20122220211220 25152775264025 40244440422440 50305550528050 100611101056100 201222202112200