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2244243204 = 2232728331469
BaseRepresentation
bin1000010111000100…
…0110111100000100
312210101221100220200
42011301012330010
514044011240304
61010405530500
7106420516050
oct20561067404
95711840820
102244243204
11a518a9155
12527713a30
13299c52678
141740b6c60
15d205ae39
hex85c46f04

2244243204 has 72 divisors (see below), whose sum is σ = 6506485440. Its totient is φ = 638926272.

The previous prime is 2244243203. The next prime is 2244243217. The reversal of 2244243204 is 4023424422.

2244243204 is a `hidden beast` number, since 224 + 4 + 2 + 432 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2244243203) 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, 55582 + ... + 87050.

Almost surely, 22244243204 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 2244243204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253242720).

2244243204 is an abundant number, since it is smaller than the sum of its proper divisors (4262242236).

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

2244243204 is a wasteful number, since it uses less digits than its factorization.

2244243204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31769 (or 31764 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2244243204 is about 47373.4440799906. Note that the first 3 decimals coincide. The cubic root of 2244243204 is about 1309.2521816202.

Adding to 2244243204 its reverse (4023424422), we get a palindrome (6267667626).

The spelling of 2244243204 in words is "two billion, two hundred forty-four million, two hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 849 1132 1698 1981 2547 3396 3962 5094 5943 7924 10188 11886 17829 23772 31469 35658 62938 71316 94407 125876 188814 220283 283221 377628 440566 566442 660849 881132 1132884 1321698 1982547 2643396 3965094 7930188 8905727 17811454 26717181 35622908 53434362 62340089 80151543 106868724 124680178 160303086 187020267 249360356 320606172 374040534 561060801 748081068 1122121602 2244243204