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2104244224 = 21117193181
BaseRepresentation
bin111110101101100…
…0011100000000000
312102122111200102021
41331123003200000
513302141303344
6544445131224
7103100531545
oct17533034000
95378450367
102104244224
1198a877915
124a8859b14
13276c45934
1415d672bcc
15c4b04b84
hex7d6c3800

2104244224 has 96 divisors (see below), whose sum is σ = 4690904400. Its totient is φ = 937820160.

The previous prime is 2104244221. The next prime is 2104244249. The reversal of 2104244224 is 4224424012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104244221) 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 7 ways as a sum of consecutive naturals, for example, 659914 + ... + 663094.

Almost surely, 22104244224 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 2104244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345452200).

2104244224 is an abundant number, since it is smaller than the sum of its proper divisors (2586660176).

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

2104244224 is a wasteful number, since it uses less digits than its factorization.

2104244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 2104244224 is about 45872.0418555791. The cubic root of 2104244224 is about 1281.4412931466.

Adding to 2104244224 its reverse (4224424012), we get a palindrome (6328668236).

The spelling of 2104244224 in words is "two billion, one hundred four million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 512 544 608 646 1024 1088 1216 1292 2048 2176 2432 2584 3181 4352 4864 5168 6362 8704 9728 10336 12724 17408 19456 20672 25448 34816 38912 41344 50896 54077 60439 82688 101792 108154 120878 165376 203584 216308 241756 330752 407168 432616 483512 661504 814336 865232 967024 1027463 1628672 1730464 1934048 2054926 3257344 3460928 3868096 4109852 6514688 6921856 7736192 8219704 13843712 15472384 16439408 27687424 30944768 32878816 55374848 61889536 65757632 110749696 123779072 131515264 263030528 526061056 1052122112 2104244224