Search a number
-
+
2278930032 = 243331379449
BaseRepresentation
bin1000011111010101…
…1011011001110000
312212211012122022000
42013311123121300
514131401230112
61014045214000
7110321404611
oct20765333160
95784178260
102278930032
11a6a43a955
12537261300
132a41a8a12
14178945c08
15d510d7dc
hex87d5b670

2278930032 has 160 divisors (see below), whose sum is σ = 6785280000. Its totient is φ = 731566080.

The previous prime is 2278930009. The next prime is 2278930051. The reversal of 2278930032 is 2300398722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5075344 + ... + 5075792.

It is an arithmetic number, because the mean of its divisors is an integer number (42408000).

Almost surely, 22278930032 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 2278930032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640000).

2278930032 is an abundant number, since it is smaller than the sum of its proper divisors (4506349968).

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

2278930032 is a wasteful number, since it uses less digits than its factorization.

2278930032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2278930032 is about 47738.1402235152. The cubic root of 2278930032 is about 1315.9629550767.

The spelling of 2278930032 in words is "two billion, two hundred seventy-eight million, nine hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 379 432 449 496 558 744 758 837 898 1116 1137 1347 1488 1516 1674 1796 2232 2274 2694 3032 3348 3411 3592 4041 4464 4548 5388 6064 6696 6822 7184 8082 9096 10233 10776 11749 12123 13392 13644 13919 16164 18192 20466 21552 23498 24246 27288 27838 32328 35247 40932 41757 46996 48492 54576 55676 64656 70494 81864 83514 93992 96984 105741 111352 125271 140988 163728 167028 170171 187984 193968 211482 222704 250542 281976 317223 334056 340342 375813 422964 501084 510513 563952 634446 668112 680684 751626 845928 1002168 1021026 1268892 1361368 1503252 1531539 1691856 2004336 2042052 2537784 2722736 3006504 3063078 4084104 4594617 5075568 5275301 6013008 6126156 8168208 9189234 10550602 12252312 15825903 18378468 21101204 24504624 31651806 36756936 42202408 47477709 63303612 73513872 84404816 94955418 126607224 142433127 189910836 253214448 284866254 379821672 569732508 759643344 1139465016 2278930032