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220130352 = 243313192063
BaseRepresentation
bin11010001111011…
…10110000110000
3120100012210002000
431013232300300
5422323132402
633502054000
75312035311
oct1507566060
9510183060
10220130352
11103292212
126187a300
13367b4b60
1421342608
15144d3c1c
hexd1eec30

220130352 has 160 divisors (see below), whose sum is σ = 716620800. Its totient is φ = 64136448.

The previous prime is 220130341. The next prime is 220130363. The reversal of 220130352 is 253031022.

220130352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220130341) and next prime (220130363).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105673 + ... + 107735.

It is an arithmetic number, because the mean of its divisors is an integer number (4478880).

Almost surely, 2220130352 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 220130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358310400).

220130352 is an abundant number, since it is smaller than the sum of its proper divisors (496490448).

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

220130352 is a wasteful number, since it uses less digits than its factorization.

220130352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 220130352 is about 14836.7904885120. The cubic root of 220130352 is about 603.8002789808.

Adding to 220130352 its reverse (253031022), we get a palindrome (473161374).

The spelling of 220130352 in words is "two hundred twenty million, one hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2063 2223 2736 2808 2964 3952 4104 4126 4446 5616 5928 6189 6669 8208 8252 8892 11856 12378 13338 16504 17784 18567 24756 26676 26819 33008 35568 37134 39197 49512 53352 53638 55701 74268 78394 80457 99024 106704 107276 111402 117591 148536 156788 160914 214552 222804 235182 241371 297072 313576 321828 352773 429104 445608 470364 482742 509561 627152 643656 705546 724113 891216 940728 965484 1019122 1058319 1287312 1411092 1448226 1528683 1881456 1930968 2038244 2116638 2822184 2896452 3057366 3861936 4076488 4233276 4586049 5644368 5792904 6114732 8152976 8466552 9172098 11585808 12229464 13758147 16933104 18344196 24458928 27516294 36688392 55032588 73376784 110065176 220130352