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217230216 = 233717233307
BaseRepresentation
bin11001111001010…
…10101110001000
3120010202102211120
430330222232020
5421102331331
633315555240
75245266150
oct1474525610
9503672746
10217230216
11101691305
12608bbb20
133600aab8
1420bc9760
151410e796
hexcf2ab88

217230216 has 128 divisors (see below), whose sum is σ = 685946880. Its totient is φ = 55858176.

The previous prime is 217230179. The next prime is 217230217. The reversal of 217230216 is 612032712.

217230216 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2172302163 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (217230217) 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, 64035 + ... + 67341.

It is an arithmetic number, because the mean of its divisors is an integer number (5358960).

Almost surely, 2217230216 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 217230216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342973440).

217230216 is an abundant number, since it is smaller than the sum of its proper divisors (468716664).

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

217230216 is a wasteful number, since it uses less digits than its factorization.

217230216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 217230216 is about 14738.7318314704. The cubic root of 217230216 is about 601.1369331664.

Adding to 217230216 its reverse (612032712), we get a palindrome (829262928).

The spelling of 217230216 in words is "two hundred seventeen million, two hundred thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 238 276 322 357 391 408 476 483 552 644 714 782 952 966 1173 1288 1428 1564 1932 2346 2737 2856 3128 3307 3864 4692 5474 6614 8211 9384 9921 10948 13228 16422 19842 21896 23149 26456 32844 39684 46298 56219 65688 69447 76061 79368 92596 112438 138894 152122 168657 185192 224876 228183 277788 304244 337314 393533 449752 456366 532427 555576 608488 674628 787066 912732 1064854 1180599 1293037 1349256 1574132 1597281 1825464 2129708 2361198 2586074 3148264 3194562 3879111 4259416 4722396 5172148 6389124 7758222 9051259 9444792 10344296 12778248 15516444 18102518 27153777 31032888 36205036 54307554 72410072 108615108 217230216