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2244421344 = 253114151839
BaseRepresentation
bin1000010111000111…
…0010011011100000
312210102021102021110
42011301302123200
514044032440334
61010413423320
7106422160314
oct20561623340
95712242243
102244421344
11a51a0aa80
1252779ab40
13299cb5789
14174121b44
15d2093ae9
hex85c726e0

2244421344 has 96 divisors (see below), whose sum is σ = 6584094720. Its totient is φ = 663526400.

The previous prime is 2244421271. The next prime is 2244421357. The reversal of 2244421344 is 4431244422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17377 + ... + 69215.

It is an arithmetic number, because the mean of its divisors is an integer number (68584320).

Almost surely, 22244421344 is an apocalyptic number.

2244421344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292047360).

2244421344 is an abundant number, since it is smaller than the sum of its proper divisors (4339673376).

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

2244421344 is a wasteful number, since it uses less digits than its factorization.

2244421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51904 (or 51896 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 2244421344 is about 47375.3242099724. The cubic root of 2244421344 is about 1309.2868219557.

Adding to 2244421344 its reverse (4431244422), we get a palindrome (6675665766).

The spelling of 2244421344 in words is "two billion, two hundred forty-four million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 51839 103678 155517 207356 311034 414712 570229 622068 829424 1140458 1244136 1658848 1710687 2125399 2280916 2488272 3421374 4250798 4561832 4976544 6376197 6842748 8501596 9123664 12752394 13685496 17003192 18247328 23379389 25504788 27370992 34006384 46758778 51009576 54741984 68012768 70138167 93517556 102019152 140276334 187035112 204038304 280552668 374070224 561105336 748140448 1122210672 2244421344