Search a number
-
+
9229750640 = 2451137467607
BaseRepresentation
bin10001001100010001…
…01101000101110000
3212211020101220122022
420212020231011300
5122400304010030
64123505331012
7444502404665
oct104610550560
925736356568
109229750640
113a06a542a0
121957036a68
13b41252c16
14637b3da6c
15390460de5
hex22622d170

9229750640 has 160 divisors (see below), whose sum is σ = 24133883904. Its totient is φ = 3253201920.

The previous prime is 9229750639. The next prime is 9229750657. The reversal of 9229750640 is 460579229.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 9229750591 and 9229750600.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15205217 + ... + 15205823.

Almost surely, 29229750640 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 9229750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066941952).

9229750640 is an abundant number, since it is smaller than the sum of its proper divisors (14904133264).

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

9229750640 is a wasteful number, since it uses less digits than its factorization.

9229750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 9229750640 is about 96071.5912223796. The cubic root of 9229750640 is about 2097.6353307453.

The spelling of 9229750640 in words is "nine billion, two hundred twenty-nine million, seven hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 467 592 607 740 814 880 934 1214 1480 1628 1868 2035 2335 2428 2960 3035 3256 3736 4070 4670 4856 5137 6070 6512 6677 7472 8140 9340 9712 10274 12140 13354 16280 17279 18680 20548 22459 24280 25685 26708 32560 33385 34558 37360 41096 44918 48560 51370 53416 66770 69116 82192 86395 89836 102740 106832 112295 133540 138232 172790 179672 190069 205480 224590 247049 267080 276464 283469 345580 359344 380138 410960 449180 494098 534160 566938 691160 760276 898360 950345 988196 1133876 1235245 1382320 1417345 1520552 1796720 1900690 1976392 2267752 2470490 2834690 3041104 3118159 3801380 3952784 4535504 4940980 5669380 6236318 7602760 9881960 10488353 11338760 12472636 15205520 15590795 19763920 20976706 22677520 24945272 31181590 41953412 49890544 52441765 62363180 83906824 104883530 115371883 124726360 167813648 209767060 230743766 249452720 419534120 461487532 576859415 839068240 922975064 1153718830 1845950128 2307437660 4614875320 9229750640