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130510224 = 243313171367
BaseRepresentation
bin1111100011101…
…10110110010000
3100002120121101000
413301312312100
5231402311344
620541142000
73143214165
oct761666620
9302517330
10130510224
1167740299
123785a900
1321066ab0
141349406c
15b6cea69
hex7c76d90

130510224 has 160 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 37767168.

The previous prime is 130510213. The next prime is 130510229. The reversal of 130510224 is 422015031.

130510224 is a `hidden beast` number, since 130 + 510 + 2 + 24 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130510197 and 130510206.

It is not an unprimeable number, because it can be changed into a prime (130510229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94789 + ... + 96155.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2130510224 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 130510224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

130510224 is an abundant number, since it is smaller than the sum of its proper divisors (296962416).

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

130510224 is a wasteful number, since it uses less digits than its factorization.

130510224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130510224 is about 11424.1071423547. The cubic root of 130510224 is about 507.2415780913.

Adding to 130510224 its reverse (422015031), we get a palindrome (552525255).

The spelling of 130510224 in words is "one hundred thirty million, five hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 34 36 39 48 51 52 54 68 72 78 102 104 108 117 136 144 153 156 204 208 216 221 234 272 306 312 351 408 432 442 459 468 612 624 663 702 816 884 918 936 1224 1326 1367 1404 1768 1836 1872 1989 2448 2652 2734 2808 3536 3672 3978 4101 5304 5468 5616 5967 7344 7956 8202 10608 10936 11934 12303 15912 16404 17771 21872 23239 23868 24606 31824 32808 35542 36909 46478 47736 49212 53313 65616 69717 71084 73818 92956 95472 98424 106626 139434 142168 147636 159939 185912 196848 209151 213252 278868 284336 295272 302107 319878 371824 418302 426504 479817 557736 590544 604214 627453 639756 836604 853008 906321 959634 1115472 1208428 1254906 1279512 1673208 1812642 1919268 2416856 2509812 2559024 2718963 3346416 3625284 3838536 4833712 5019624 5437926 7250568 7677072 8156889 10039248 10875852 14501136 16313778 21751704 32627556 43503408 65255112 130510224