Search a number
-
+
222191112200 = 2352333312
BaseRepresentation
bin1100111011101110011…
…1110101000000001000
3210020111212202222121212
43032323213311000020
512120021411042300
6250023450352252
722024050202061
oct3167347650010
9706455688555
10222191112200
118625a0aa252
123708b42b688
1317c4c935bb5
14aa7b3ad568
155ba6753935
hex33bb9f5008

222191112200 has 36 divisors (see below), whose sum is σ = 516609835245. Its totient is φ = 88873778400.

The previous prime is 222191112167. The next prime is 222191112203. The reversal of 222191112200 is 2211191222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

222191112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217747289956 + 4443822244 = 466634^2 + 66662^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333310.

It is not an unprimeable number, because it can be changed into a prime (222191112203) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6649535 + ... + 6682865.

Almost surely, 2222191112200 is an apocalyptic number.

222191112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222191112200 is an abundant number, since it is smaller than the sum of its proper divisors (294418723045).

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

222191112200 is an frugal number, since it uses more digits than its factorization.

222191112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66678 (or 33338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Multiplying 222191112200 by its product of nonzero digits (288), we get a square (63991040313600 = 79994402).

The spelling of 222191112200 in words is "two hundred twenty-two billion, one hundred ninety-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 33331 66662 133324 166655 266648 333310 666620 833275 1333240 1666550 3333100 6666200 1110955561 2221911122 4443822244 5554777805 8887644488 11109555610 22219111220 27773889025 44438222440 55547778050 111095556100 222191112200