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220060568 = 23731331199
BaseRepresentation
bin11010001110111…
…01101110011000
3120100002020100102
431013131232120
5422313414233
633500354532
75311325000
oct1507355630
9510066312
10220060568
11103244842
1261845a48
133678c170
1421325000
15144bd1e8
hexd1ddb98

220060568 has 128 divisors (see below), whose sum is σ = 537600000. Its totient is φ = 83825280.

The previous prime is 220060567. The next prime is 220060601. The reversal of 220060568 is 865060022.

It is a self number, because there is not a number n which added to its sum of digits gives 220060568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220060567) 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, 1105733 + ... + 1105931.

It is an arithmetic number, because the mean of its divisors is an integer number (4200000).

Almost surely, 2220060568 is an apocalyptic number.

220060568 is a gapful number since it is divisible by the number (28) 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 220060568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268800000).

220060568 is an abundant number, since it is smaller than the sum of its proper divisors (317539432).

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

220060568 is a wasteful number, since it uses less digits than its factorization.

220060568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 220060568 is about 14834.4385805463. The cubic root of 220060568 is about 603.7364682257.

The spelling of 220060568 in words is "two hundred twenty million, sixty thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 199 217 248 343 364 392 398 403 434 637 686 728 796 806 868 1274 1372 1393 1519 1592 1612 1736 2548 2587 2744 2786 2821 3038 3224 4459 5096 5174 5572 5642 6076 6169 8918 9751 10348 10633 11144 11284 12152 12338 17836 18109 19502 19747 20696 21266 22568 24676 35672 36218 39004 39494 42532 43183 49352 68257 72436 78008 78988 80197 85064 86366 126763 136514 138229 144872 157976 160394 172732 253526 273028 276458 302281 320788 345464 507052 546056 552916 561379 604562 641576 887341 1014104 1105832 1122758 1209124 1774682 2115967 2245516 2418248 3549364 3929653 4231934 4491032 7098728 7859306 8463868 15718612 16927736 27507571 31437224 55015142 110030284 220060568