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218643030 = 23357311093
BaseRepresentation
bin11010000100000…
…11101001010110
3120020102012212000
431002003221112
5421433034110
633410140130
75263302144
oct1502035126
9506365760
10218643030
11102466821
1261281646
13363b3b98
1421076594
15142dd1c0
hexd083a56

218643030 has 64 divisors (see below), whose sum is σ = 591088320. Its totient is φ = 57500928.

The previous prime is 218642993. The next prime is 218643041. The reversal of 218643030 is 30346812.

It is a happy number.

218643030 is a `hidden beast` number, since 2 + 18 + 643 + 0 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 218642985 and 218643003.

It is a congruent number.

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, 14164 + ... + 25256.

It is an arithmetic number, because the mean of its divisors is an integer number (9235755).

Almost surely, 2218643030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218643030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295544160).

218643030 is an abundant number, since it is smaller than the sum of its proper divisors (372445290).

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

218643030 is a wasteful number, since it uses less digits than its factorization.

218643030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 218643030 is about 14786.5827695245. The cubic root of 218643030 is about 602.4373355854.

Adding to 218643030 its reverse (30346812), we get a palindrome (248989842).

The spelling of 218643030 in words is "two hundred eighteen million, six hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 135 146 219 270 365 438 657 730 1095 1314 1971 2190 3285 3942 6570 9855 11093 19710 22186 33279 55465 66558 99837 110930 166395 199674 299511 332790 499185 599022 809789 998370 1497555 1619578 2429367 2995110 4048945 4858734 7288101 8097890 12146835 14576202 21864303 24293670 36440505 43728606 72881010 109321515 218643030