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2244241044 = 2232731038291
BaseRepresentation
bin1000010111000100…
…0110011010010100
312210101221020221200
42011301012122110
514044011203134
61010405512500
7106420506543
oct20561063224
95711836850
102244241044
11a518a7571
12527712730
13299c516a6
141740b615a
15d205a499
hex85c46694

2244241044 has 72 divisors (see below), whose sum is σ = 5807186112. Its totient is φ = 730581120.

The previous prime is 2244241037. The next prime is 2244241049. The reversal of 2244241044 is 4401424422.

2244241044 is a `hidden beast` number, since 2 + 244 + 2 + 410 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2244240999 and 2244241017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244241049) 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 23 ways as a sum of consecutive naturals, for example, 266539 + ... + 274829.

Almost surely, 22244241044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244241044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903593056).

2244241044 is an abundant number, since it is smaller than the sum of its proper divisors (3562945068).

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

2244241044 is a wasteful number, since it uses less digits than its factorization.

2244241044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2244241044 is about 47373.4212824026. The cubic root of 2244241044 is about 1309.2517615847.

Adding to 2244241044 its reverse (4401424422), we get a palindrome (6645665466).

The spelling of 2244241044 in words is "two billion, two hundred forty-four million, two hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 103 146 206 219 292 309 412 438 618 657 876 927 1236 1314 1854 2628 3708 7519 8291 15038 16582 22557 24873 30076 33164 45114 49746 67671 74619 90228 99492 135342 149238 270684 298476 605243 853973 1210486 1707946 1815729 2420972 2561919 3415892 3631458 5123838 5447187 7262916 7685757 10247676 10894374 15371514 21788748 30743028 62340029 124680058 187020087 249360116 374040174 561060261 748080348 1122120522 2244241044