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220568064 = 293178447
BaseRepresentation
bin11010010010110…
…01101000000000
3120101001000111120
431021121220000
5422431134224
633515312240
75315540403
oct1511315000
9511030446
10220568064
11103561062
1261a4b680
1336909162
1421417d3a
151456d779
hexd259a00

220568064 has 80 divisors (see below), whose sum is σ = 622245888. Its totient is φ = 69189632.

The previous prime is 220568053. The next prime is 220568071. The reversal of 220568064 is 460865022.

220568064 is nontrivially palindromic in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21889 + ... + 30335.

Almost surely, 2220568064 is an apocalyptic number.

220568064 is a gapful number since it is divisible by the number (24) 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 220568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311122944).

220568064 is an abundant number, since it is smaller than the sum of its proper divisors (401677824).

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

220568064 is an equidigital number, since it uses as much as digits as its factorization.

220568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8485 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 220568064 is about 14851.5340621769. The cubic root of 220568064 is about 604.2002172368.

The spelling of 220568064 in words is "two hundred twenty million, five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8447 8704 13056 16894 25341 26112 33788 50682 67576 101364 135152 143599 202728 270304 287198 405456 430797 540608 574396 810912 861594 1081216 1148792 1621824 1723188 2162432 2297584 3243648 3446376 4324864 4595168 6487296 6892752 9190336 12974592 13785504 18380672 27571008 36761344 55142016 73522688 110284032 220568064