Search a number
-
+
2241300204 = 223211131632671
BaseRepresentation
bin1000010110010111…
…1000011011101100
312210012101211212200
42011211320123230
514042233101304
61010222501500
7106353510633
oct20545703354
95705354780
102241300204
11a50179020
12526734890
13299461c50
1417394c51a
15d1b78e39
hex859786ec

2241300204 has 144 divisors (see below), whose sum is σ = 6699323904. Its totient is φ = 622857600.

The previous prime is 2241300203. The next prime is 2241300311. The reversal of 2241300204 is 4020031422.

2241300204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2241300203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837789 + ... + 840459.

Almost surely, 22241300204 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 2241300204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349661952).

2241300204 is an abundant number, since it is smaller than the sum of its proper divisors (4458023700).

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

2241300204 is a wasteful number, since it uses less digits than its factorization.

2241300204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2241300204 is about 47342.3721839115. The cubic root of 2241300204 is about 1308.6796330560.

Adding to 2241300204 its reverse (4020031422), we get a palindrome (6261331626).

The spelling of 2241300204 in words is "two billion, two hundred forty-one million, three hundred thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 163 198 234 286 326 396 429 468 489 572 652 858 978 1287 1467 1716 1793 1956 2119 2574 2671 2934 3586 4238 5148 5342 5379 5868 6357 7172 8013 8476 10684 10758 12714 16026 16137 19071 21516 23309 24039 25428 29381 32052 32274 34723 38142 46618 48078 58762 64548 69446 69927 76284 88143 93236 96156 104169 117524 138892 139854 176286 208338 209781 264429 279708 312507 352572 381953 416676 419562 435373 528858 625014 763906 839124 870746 1057716 1145859 1250028 1306119 1527812 1741492 2291718 2612238 3437577 3918357 4583436 4789103 5224476 5659849 6875154 7836714 9578206 11319698 13750308 14367309 15673428 16979547 19156412 22639396 28734618 33959094 43101927 50938641 57469236 62258339 67918188 86203854 101877282 124516678 172407708 186775017 203754564 249033356 373550034 560325051 747100068 1120650102 2241300204