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2244021444 = 2232723174013
BaseRepresentation
bin1000010111000001…
…0000110011000100
312210101112002201100
42011300100303010
514043432141234
61010401100100
7106415603400
oct20560206304
95711462640
102244021444
11a51767585
12527627630
13299ba5752
1417405a100
15d2015399
hex85c10cc4

2244021444 has 108 divisors (see below), whose sum is σ = 6620956524. Its totient is φ = 638967168.

The previous prime is 2244021443. The next prime is 2244021469. The reversal of 2244021444 is 4441204422.

2244021444 is a `hidden beast` number, since 2 + 2 + 440 + 214 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 927202500 + 1316818944 = 30450^2 + 36288^2 .

It is a super-2 number, since 2×22440214442 = 10071264482263690272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244021443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 557182 + ... + 561194.

It is an arithmetic number, because the mean of its divisors is an integer number (61305153).

Almost surely, 22244021444 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 2244021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310478262).

2244021444 is an abundant number, since it is smaller than the sum of its proper divisors (4376935080).

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

2244021444 is a wasteful number, since it uses less digits than its factorization.

2244021444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4342 counting only the distinct ones).

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

The square root of 2244021444 is about 47371.1034703647. The cubic root of 2244021444 is about 1309.2090565663.

Adding to 2244021444 its reverse (4441204422), we get a palindrome (6685225866).

The spelling of 2244021444 in words is "two billion, two hundred forty-four million, twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 317 441 588 634 882 951 1268 1764 1902 2219 2853 3804 4013 4438 5706 6657 8026 8876 11412 12039 13314 15533 16052 19971 24078 26628 28091 31066 36117 39942 46599 48156 56182 62132 72234 79884 84273 93198 112364 139797 144468 168546 186396 196637 252819 279594 337092 393274 505638 559188 589911 786548 1011276 1179822 1272121 1769733 2359644 2544242 3539466 3816363 5088484 7078932 7632726 8904847 11449089 15265452 17809694 22898178 26714541 35619388 45796356 53429082 62333929 80143623 106858164 124667858 160287246 187001787 249335716 320574492 374003574 561005361 748007148 1122010722 2244021444