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22440444 = 223131967113
BaseRepresentation
bin101010110011…
…0100111111100
31120020002111120
41111212213330
521221043234
62120550540
7361512015
oct125464774
946202446
1022440444
1111737924
127622450
134859190
142da200c
151e84049
hex15669fc

22440444 has 96 divisors (see below), whose sum is σ = 60775680. Its totient is φ = 6386688.

The previous prime is 22440437. The next prime is 22440449. The reversal of 22440444 is 44404422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22440449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198532 + ... + 198644.

It is an arithmetic number, because the mean of its divisors is an integer number (633080).

Almost surely, 222440444 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 22440444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30387840).

22440444 is an abundant number, since it is smaller than the sum of its proper divisors (38335236).

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

22440444 is a wasteful number, since it uses less digits than its factorization.

22440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 22440444 is about 4737.1345769357. The cubic root of 22440444 is about 282.0615026060.

Adding to 22440444 its reverse (44404422), we get a palindrome (66844866).

The spelling of 22440444 in words is "twenty-two million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 67 76 78 113 114 134 156 201 226 228 247 268 339 402 452 494 678 741 804 871 988 1273 1356 1469 1482 1742 2147 2546 2613 2938 2964 3484 3819 4294 4407 5092 5226 5876 6441 7571 7638 8588 8814 10452 12882 15142 15276 16549 17628 22713 25764 27911 30284 33098 45426 49647 55822 66196 83733 90852 98423 99294 111644 143849 167466 196846 198588 287698 295269 334932 393692 431547 575396 590538 863094 1181076 1726188 1870037 3740074 5610111 7480148 11220222 22440444