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218283030 = 232573171093
BaseRepresentation
bin11010000001010…
…11110000010110
3120012201221000200
431000223300112
5421340024110
633354321330
75260242450
oct1500536026
9505657020
10218283030
111022402a9
1261129246
13362b9074
1420dc12d0
151426b6c0
hexd02bc16

218283030 has 96 divisors (see below), whose sum is σ = 651253824. Its totient is φ = 49690368.

The previous prime is 218283019. The next prime is 218283031. The reversal of 218283030 is 30382812.

It is a junction number, because it is equal to n+sod(n) for n = 218282985 and 218283003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218283031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199164 + ... + 200256.

It is an arithmetic number, because the mean of its divisors is an integer number (6783894).

Almost surely, 2218283030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218283030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325626912).

218283030 is an abundant number, since it is smaller than the sum of its proper divisors (432970794).

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

218283030 is a wasteful number, since it uses less digits than its factorization.

218283030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 218283030 is about 14774.4045565295. The cubic root of 218283030 is about 602.1065123545.

The spelling of 218283030 in words is "two hundred eighteen million, two hundred eighty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 317 630 634 951 1093 1585 1902 2186 2219 2853 3170 3279 4438 4755 5465 5706 6558 6657 7651 9510 9837 10930 11095 13314 14265 15302 16395 19674 19971 22190 22953 28530 32790 33285 38255 39942 45906 49185 66570 68859 76510 98370 99855 114765 137718 199710 229530 344295 346481 688590 692962 1039443 1732405 2078886 2425367 3118329 3464810 4850734 5197215 6236658 7276101 10394430 12126835 14552202 15591645 21828303 24253670 31183290 36380505 43656606 72761010 109141515 218283030