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2243101100 = 2252311973673
BaseRepresentation
bin1000010110110011…
…0000000110101100
312210022210100020112
42011230300012230
514043213213400
61010325235152
7106405021232
oct20554600654
95708710215
102243101100
11a51199069
12527262ab8
13299942876
14173c9a952
15d1dd2835
hex85b301ac

2243101100 has 72 divisors (see below), whose sum is σ = 5051426688. Its totient is φ = 863654400.

The previous prime is 2243101099. The next prime is 2243101111. The reversal of 2243101100 is 11013422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608864 + ... + 612536.

It is an arithmetic number, because the mean of its divisors is an integer number (70158704).

Almost surely, 22243101100 is an apocalyptic number.

2243101100 is a gapful number since it is divisible by the number (20) 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 2243101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525713344).

2243101100 is an abundant number, since it is smaller than the sum of its proper divisors (2808325588).

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

2243101100 is a wasteful number, since it uses less digits than its factorization.

2243101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2243101100 is about 47361.3882820172. The cubic root of 2243101100 is about 1309.0300494440.

Adding to 2243101100 its reverse (11013422), we get a palindrome (2254114522).

The spelling of 2243101100 in words is "two billion, two hundred forty-three million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 197 310 394 620 775 788 985 1550 1970 3100 3673 3940 4925 6107 7346 9850 12214 14692 18365 19700 24428 30535 36730 61070 73460 91825 113863 122140 152675 183650 227726 305350 367300 455452 569315 610700 723581 1138630 1447162 2277260 2846575 2894324 3617905 5693150 7235810 11386300 14471620 18089525 22431011 36179050 44862022 72358100 89724044 112155055 224310110 448620220 560775275 1121550550 2243101100