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641221218 = 233112694013
BaseRepresentation
bin100110001110000…
…100001001100010
31122200120102011000
4212032010021202
52303123034333
6143343332430
721614201421
oct4616041142
91580512130
10641221218
112a9a52aa0
1215a8b1116
13a2acc251
14612372b8
153b461713
hex26384262

641221218 has 64 divisors (see below), whose sum is σ = 1560643200. Its totient is φ = 193538880.

The previous prime is 641221199. The next prime is 641221219. The reversal of 641221218 is 812122146.

641221218 is a `hidden beast` number, since 641 + 2 + 2 + 1 + 2 + 18 = 666.

It is a super-2 number, since 2×6412212182 = 822329300826807048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 641221191 and 641221200.

It is not an unprimeable number, because it can be changed into a prime (641221219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157780 + ... + 161792.

It is an arithmetic number, because the mean of its divisors is an integer number (24385050).

Almost surely, 2641221218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641221218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780321600).

641221218 is an abundant number, since it is smaller than the sum of its proper divisors (919421982).

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

641221218 is a wasteful number, since it uses less digits than its factorization.

641221218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4298 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 641221218 is about 25322.3462183108. The cubic root of 641221218 is about 862.3216599134.

The spelling of 641221218 in words is "six hundred forty-one million, two hundred twenty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 269 297 538 594 807 1614 2421 2959 4013 4842 5918 7263 8026 8877 12039 14526 17754 24078 26631 36117 44143 53262 72234 79893 88286 108351 132429 159786 216702 264858 397287 794574 1079497 1191861 2158994 2383722 3238491 6476982 9715473 11874467 19430946 23748934 29146419 35623401 58292838 71246802 106870203 213740406 320610609 641221218