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218340330 = 235133715131
BaseRepresentation
bin11010000001110…
…01101111101010
3120012211211121220
431000321233222
5421343342310
633355442510
75260601505
oct1500715752
9505754556
10218340330
1110227a35a
1261156436
1336309180
1420dd813c
151427d670
hexd039bea

218340330 has 64 divisors (see below), whose sum is σ = 579616128. Its totient is φ = 52289280.

The previous prime is 218340329. The next prime is 218340379. The reversal of 218340330 is 33043812.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 218340330.

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, 6865 + ... + 21995.

It is an arithmetic number, because the mean of its divisors is an integer number (9056502).

Almost surely, 2218340330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218340330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289808064).

218340330 is an abundant number, since it is smaller than the sum of its proper divisors (361275798).

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

218340330 is a wasteful number, since it uses less digits than its factorization.

218340330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15191.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 218340330 is about 14776.3435937312. The cubic root of 218340330 is about 602.1591927129.

The spelling of 218340330 in words is "two hundred eighteen million, three hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4810 7215 14430 15131 30262 45393 75655 90786 151310 196703 226965 393406 453930 559847 590109 983515 1119694 1180218 1679541 1967030 2799235 2950545 3359082 5598470 5901090 7278011 8397705 14556022 16795410 21834033 36390055 43668066 72780110 109170165 218340330