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2244404124 = 22321723413889
BaseRepresentation
bin1000010111000110…
…1110001110011100
312210102020112122200
42011301232032130
514044031412444
61010413211500
7106422056154
oct20561561634
95712215580
102244404124
11a519a9046
12527790b90
13299caa9a1
14174119764
15d208d969
hex85c6e39c

2244404124 has 144 divisors (see below), whose sum is σ = 6422794560. Its totient is φ = 656916480.

The previous prime is 2244404119. The next prime is 2244404143. The reversal of 2244404124 is 4214044422.

2244404124 is a `hidden beast` number, since 2 + 244 + 4 + 0 + 412 + 4 = 666.

2244404124 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575172 + ... + 579060.

It is an arithmetic number, because the mean of its divisors is an integer number (44602740).

Almost surely, 22244404124 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 2244404124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211397280).

2244404124 is an abundant number, since it is smaller than the sum of its proper divisors (4178390436).

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

2244404124 is a wasteful number, since it uses less digits than its factorization.

2244404124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3975 counting only the distinct ones).

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

The square root of 2244404124 is about 47375.1424694428. The cubic root of 2244404124 is about 1309.2834735089.

Adding to 2244404124 its reverse (4214044422), we get a palindrome (6458448546).

The spelling of 2244404124 in words is "two billion, two hundred forty-four million, four hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 41 46 51 68 69 82 92 102 123 138 153 164 204 207 246 276 306 369 391 414 492 612 697 738 782 828 943 1173 1394 1476 1564 1886 2091 2346 2788 2829 3519 3772 3889 4182 4692 5658 6273 7038 7778 8364 8487 11316 11667 12546 14076 15556 16031 16974 23334 25092 32062 33948 35001 46668 48093 64124 66113 70002 89447 96186 132226 140004 144279 159449 178894 192372 198339 264452 268341 288558 318898 357788 396678 478347 536682 577116 595017 637796 793356 805023 956694 1073364 1190034 1435041 1520599 1610046 1913388 2380068 2710633 2870082 3041198 3220092 3667327 4561797 5421266 5740164 6082396 7334654 8131899 9123594 10842532 11001981 13685391 14669308 16263798 18247188 22003962 24395697 27370782 32527596 33005943 44007924 48791394 54741564 62344559 66011886 97582788 124689118 132023772 187033677 249378236 374067354 561101031 748134708 1122202062 2244404124