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218030568 = 23371379473
BaseRepresentation
bin11001111111011…
…10000111101000
3120012021002201020
430333232013220
5421303434233
633345052440
75255141430
oct1477560750
9505232636
10218030568
11102088658
1261027120
133622b192
1420d572c0
151421b9b3
hexcfee1e8

218030568 has 64 divisors (see below), whose sum is σ = 627557760. Its totient is φ = 61833216.

The previous prime is 218030537. The next prime is 218030573. The reversal of 218030568 is 865030812.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18280 + ... + 27752.

It is an arithmetic number, because the mean of its divisors is an integer number (9805590).

Almost surely, 2218030568 is an apocalyptic number.

218030568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218030568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313778880).

218030568 is an abundant number, since it is smaller than the sum of its proper divisors (409527192).

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

218030568 is a wasteful number, since it uses less digits than its factorization.

218030568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 218030568 is about 14765.8581870476. The cubic root of 218030568 is about 601.8742944925.

The spelling of 218030568 in words is "two hundred eighteen million, thirty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3836 5754 7672 9473 11508 18946 23016 28419 37892 56838 66311 75784 113676 132622 198933 227352 265244 397866 530488 795732 1297801 1591464 2595602 3893403 5191204 7786806 9084607 10382408 15573612 18169214 27253821 31147224 36338428 54507642 72676856 109015284 218030568