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116220258 = 23472114
BaseRepresentation
bin1101110110101…
…10000101100010
322002200121020000
412323112011202
5214223022013
615311000430
72610566400
oct673260542
9262617200
10116220258
115a670000
1232b09116
131b1026ab
1411614470
15a30a973
hex6ed6162

116220258 has 150 divisors (see below), whose sum is σ = 333228555. Its totient is φ = 30187080.

The previous prime is 116220257. The next prime is 116220289. The reversal of 116220258 is 852022611.

It is a happy number.

116220258 is a `hidden beast` number, since 11 + 622 + 0 + 25 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58110129 + 58110129 = 7623^2 + 7623^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7623.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116220257) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 10565473 + ... + 10565483.

Almost surely, 2116220258 is an apocalyptic number.

116220258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116220258

116220258 is an abundant number, since it is smaller than the sum of its proper divisors (217008297).

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

116220258 is an frugal number, since it uses more digits than its factorization.

116220258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116220258 is about 10780.5499859701. The cubic root of 116220258 is about 488.0083785402.

Adding to 116220258 its reverse (852022611), we get a palindrome (968242869).

The spelling of 116220258 in words is "one hundred sixteen million, two hundred twenty thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 121 126 147 154 162 189 198 231 242 294 297 363 378 441 462 539 567 594 693 726 847 882 891 1078 1089 1134 1323 1331 1386 1617 1694 1782 2079 2178 2541 2646 2662 3234 3267 3969 3993 4158 4851 5082 5929 6237 6534 7623 7938 7986 9317 9702 9801 11858 11979 12474 14553 14641 15246 17787 18634 19602 22869 23958 27951 29106 29282 35574 35937 43659 43923 45738 53361 55902 65219 68607 71874 83853 87318 87846 102487 106722 107811 130438 131769 137214 160083 167706 195657 204974 215622 251559 263538 307461 320166 391314 395307 480249 503118 586971 614922 717409 754677 790614 922383 960498 1173942 1185921 1434818 1509354 1760913 1844766 2152227 2371842 2767149 3521826 4304454 5282739 5534298 6456681 8301447 10565478 12913362 16602894 19370043 38740086 58110129 116220258