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220341564 = 223223535021
BaseRepresentation
bin11010010001000…
…10010100111100
3120100121111210200
431020202110330
5422401412224
633510403500
75313605142
oct1510422474
9510544720
10220341564
11103416973
1261960590
133685a031
1421399592
15145265c9
hexd22253c

220341564 has 72 divisors (see below), whose sum is σ = 592274592. Its totient is φ = 68914560.

The previous prime is 220341557. The next prime is 220341581. The reversal of 220341564 is 465143022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41374 + ... + 46394.

It is an arithmetic number, because the mean of its divisors is an integer number (8226036).

Almost surely, 2220341564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220341564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296137296).

220341564 is an abundant number, since it is smaller than the sum of its proper divisors (371933028).

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

220341564 is a wasteful number, since it uses less digits than its factorization.

220341564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 220341564 is about 14843.9066286473. The cubic root of 220341564 is about 603.9933298972.

Adding to 220341564 its reverse (465143022), we get a palindrome (685484586).

The spelling of 220341564 in words is "two hundred twenty million, three hundred forty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 477 636 828 954 1219 1908 2438 3657 4876 5021 7314 10042 10971 14628 15063 20084 21942 30126 43884 45189 60252 90378 115483 180756 230966 266113 346449 461932 532226 692898 798339 1039347 1064452 1385796 1596678 2078694 2395017 3193356 4157388 4790034 6120599 9580068 12241198 18361797 24482396 36723594 55085391 73447188 110170782 220341564