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221041240 = 23571993967
BaseRepresentation
bin11010010110011…
…01001001011000
3120101221001120121
431023031021120
5423041304430
633533403024
75322551050
oct1513151130
9511831517
10221041240
11103854612
1262039474
1336a43644
14214dc560
1514613a7a
hexd2cd258

221041240 has 64 divisors (see below), whose sum is σ = 571392000. Its totient is φ = 75385728.

The previous prime is 221041237. The next prime is 221041267. The reversal of 221041240 is 42140122.

221041240 = T104 + T105 + ... + T1098.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 53737 + ... + 57703.

It is an arithmetic number, because the mean of its divisors is an integer number (8928000).

Almost surely, 2221041240 is an apocalyptic number.

221041240 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 221041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696000).

221041240 is an abundant number, since it is smaller than the sum of its proper divisors (350350760).

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

221041240 is a wasteful number, since it uses less digits than its factorization.

221041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 221041240 is about 14867.4557339176. The cubic root of 221041240 is about 604.6319643081.

Adding to 221041240 its reverse (42140122), we get a palindrome (263181362).

The spelling of 221041240 in words is "two hundred twenty-one million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1990 2786 3967 3980 5572 6965 7934 7960 11144 13930 15868 19835 27769 27860 31736 39670 55538 55720 79340 111076 138845 158680 222152 277690 555380 789433 1110760 1578866 3157732 3947165 5526031 6315464 7894330 11052062 15788660 22104124 27630155 31577320 44208248 55260310 110520620 221041240