Search a number
-
+
2102220200 = 235210511101
BaseRepresentation
bin111110101001101…
…0101010110101000
312102111200211222102
41331103111112220
513301132021300
6544333512532
7103044401603
oct17523252650
95374624872
102102220200
11989715173
124a8042748
132766b75a2
1415d2a733a
15c48550d5
hex7d4d55a8

2102220200 has 24 divisors (see below), whose sum is σ = 4887662430. Its totient is φ = 840888000.

The previous prime is 2102220199. The next prime is 2102220203. The reversal of 2102220200 is 20222012.

It can be written as a sum of positive squares in 3 ways, for example, as 1200899716 + 901320484 = 34654^2 + 30022^2 .

It is not an unprimeable number, because it can be changed into a prime (2102220203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5255351 + ... + 5255750.

Almost surely, 22102220200 is an apocalyptic number.

2102220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102220200 is an abundant number, since it is smaller than the sum of its proper divisors (2785442230).

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

2102220200 is a wasteful number, since it uses less digits than its factorization.

2102220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511117 (or 10511108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2102220200 is about 45849.9749182047. The cubic root of 2102220200 is about 1281.0302983987.

Adding to 2102220200 its reverse (20222012), we get a palindrome (2122442212).

The spelling of 2102220200 in words is "two billion, one hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10511101 21022202 42044404 52555505 84088808 105111010 210222020 262777525 420444040 525555050 1051110100 2102220200