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2241982049 = 17419733161
BaseRepresentation
bin1000010110100001…
…1110111001100001
312210020200111012012
42011220132321201
514042421411144
61010245242305
7106362350546
oct20550367141
95706614165
102241982049
11a505a432a
12526a03395
132996403c8
14173a88bcd
15d1c60e9e
hex85a1ee61

2241982049 has 16 divisors (see below), whose sum is σ = 2456906256. Its totient is φ = 2037350400.

The previous prime is 2241982027. The next prime is 2241982069. The reversal of 2241982049 is 9402891422.

It can be written as a sum of positive squares in 8 ways, for example, as 33640000 + 2208342049 = 5800^2 + 46993^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241982049 - 224 = 2225204833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2241981997 and 2241982015.

It is not an unprimeable number, because it can be changed into a prime (2241982069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51029 + ... + 84189.

It is an arithmetic number, because the mean of its divisors is an integer number (153556641).

It is the magic constant of a 1649 × 1649 magic square.

Almost surely, 22241982049 is an apocalyptic number.

It is an amenable number.

2241982049 is a deficient number, since it is larger than the sum of its proper divisors (214924207).

2241982049 is a wasteful number, since it uses less digits than its factorization.

2241982049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33316.

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 2241982049 is about 47349.5728491821. The cubic root of 2241982049 is about 1308.8123277885.

The spelling of 2241982049 in words is "two billion, two hundred forty-one million, nine hundred eighty-two thousand, forty-nine".

Divisors: 1 17 41 97 697 1649 3977 33161 67609 563737 1359601 3216617 23113217 54682489 131881297 2241982049