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2241141400 = 235211205707
BaseRepresentation
bin1000010110010101…
…0001101010011000
312210012002210001001
42011211101222120
514042213011100
61010215234344
7106352246641
oct20545215230
95705083031
102241141400
11a5007a783
125266789b4
13299407894
1417390a6c8
15d1b46d6a
hex85951a98

2241141400 has 24 divisors (see below), whose sum is σ = 5210654220. Its totient is φ = 896456480.

The previous prime is 2241141389. The next prime is 2241141401. The reversal of 2241141400 is 41411422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241141401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5602654 + ... + 5603053.

Almost surely, 22241141400 is an apocalyptic number.

2241141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241141400 is an abundant number, since it is smaller than the sum of its proper divisors (2969512820).

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

2241141400 is a wasteful number, since it uses less digits than its factorization.

2241141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205723 (or 11205714 counting only the distinct ones).

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

The square root of 2241141400 is about 47340.6949674379. The cubic root of 2241141400 is about 1308.6487241415.

Adding to 2241141400 its reverse (41411422), we get a palindrome (2282552822).

It can be divided in two parts, 2241 and 141400, that added together give a square (143641 = 3792).

The spelling of 2241141400 in words is "two billion, two hundred forty-one million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11205707 22411414 44822828 56028535 89645656 112057070 224114140 280142675 448228280 560285350 1120570700 2241141400