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221066340 = 2235112314563
BaseRepresentation
bin11010010110100…
…11010001100100
3120101222100000020
431023103101210
5423043110330
633534115140
75323014165
oct1513232144
9511870006
10221066340
11103871460
126204bab0
1336a51bb1
142150776c
151461b210
hexd2d3464

221066340 has 96 divisors (see below), whose sum is σ = 704664576. Its totient is φ = 51258240.

The previous prime is 221066327. The next prime is 221066359. The reversal of 221066340 is 43660122.

It is a self number, because there is not a number n which added to its sum of digits gives 221066340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7899 + ... + 22461.

It is an arithmetic number, because the mean of its divisors is an integer number (7340256).

Almost surely, 2221066340 is an apocalyptic number.

221066340 is a gapful number since it is divisible by the number (20) 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 221066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352332288).

221066340 is an abundant number, since it is smaller than the sum of its proper divisors (483598236).

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

221066340 is a wasteful number, since it uses less digits than its factorization.

221066340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14609 (or 14607 counting only the distinct ones).

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

The square root of 221066340 is about 14868.2998355562. The cubic root of 221066340 is about 604.6548494613.

The spelling of 221066340 in words is "two hundred twenty-one million, sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 14563 15180 29126 43689 58252 72815 87378 145630 160193 174756 218445 291260 320386 334949 436890 480579 640772 669898 800965 873780 961158 1004847 1339796 1601930 1674745 1922316 2009694 2402895 3203860 3349490 3684439 4019388 4805790 5024235 6698980 7368878 9611580 10048470 11053317 14737756 18422195 20096940 22106634 36844390 44213268 55266585 73688780 110533170 221066340