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221010540 = 223517435039
BaseRepresentation
bin11010010110001…
…01101001101100
3120101212111110120
431023011221230
5423034314130
633533004540
75322362412
oct1513055154
9511774416
10221010540
11103833543
1262023750
1336a3268a
14214d12b2
1514609910
hexd2c5a6c

221010540 has 96 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 54168576.

The previous prime is 221010539. The next prime is 221010547. The reversal of 221010540 is 45010122.

221010540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (221010547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41341 + ... + 46379.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2221010540 is an apocalyptic number.

221010540 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 221010540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

221010540 is an abundant number, since it is smaller than the sum of its proper divisors (449591700).

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

221010540 is a wasteful number, since it uses less digits than its factorization.

221010540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 221010540 is about 14866.4232416543. The cubic root of 221010540 is about 604.6039709485.

Adding to 221010540 its reverse (45010122), we get a palindrome (266020662).

The spelling of 221010540 in words is "two hundred twenty-one million, ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 510 516 645 731 860 1020 1290 1462 2193 2580 2924 3655 4386 5039 7310 8772 10078 10965 14620 15117 20156 21930 25195 30234 43860 50390 60468 75585 85663 100780 151170 171326 216677 256989 302340 342652 428315 433354 513978 650031 856630 866708 1027956 1083385 1284945 1300062 1713260 2166770 2569890 2600124 3250155 3683509 4333540 5139780 6500310 7367018 11050527 13000620 14734036 18417545 22101054 36835090 44202108 55252635 73670180 110505270 221010540