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220539264 = 27311109479
BaseRepresentation
bin11010010010100…
…10100110000000
3120100222112222220
431021102212000
5422424224024
633514531040
75315360421
oct1511224600
9510875886
10220539264
11103541460
1261a36a80
13368c900a
142140b648
1514564e79
hexd252980

220539264 has 128 divisors (see below), whose sum is σ = 646272000. Its totient is φ = 66078720.

The previous prime is 220539247. The next prime is 220539281. The reversal of 220539264 is 462935022.

It is an interprime number because it is at equal distance from previous prime (220539247) and next prime (220539281).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460177 + ... + 460655.

It is an arithmetic number, because the mean of its divisors is an integer number (5049000).

Almost surely, 2220539264 is an apocalyptic number.

220539264 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 220539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323136000).

220539264 is an abundant number, since it is smaller than the sum of its proper divisors (425732736).

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

220539264 is a wasteful number, since it uses less digits than its factorization.

220539264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 220539264 is about 14850.5644337177. The cubic root of 220539264 is about 604.1739188941.

The spelling of 220539264 in words is "two hundred twenty million, five hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 128 132 176 192 218 264 327 352 384 436 479 528 654 704 872 958 1056 1199 1308 1408 1437 1744 1916 2112 2398 2616 2874 3488 3597 3832 4224 4796 5232 5269 5748 6976 7194 7664 9592 10464 10538 11496 13952 14388 15328 15807 19184 20928 21076 22992 28776 30656 31614 38368 41856 42152 45984 52211 57552 61312 63228 76736 84304 91968 104422 115104 126456 153472 156633 168608 183936 208844 230208 252912 313266 337216 417688 460416 505824 574321 626532 674432 835376 1011648 1148642 1253064 1670752 1722963 2023296 2297284 2506128 3341504 3445926 4594568 5012256 6683008 6891852 9189136 10024512 13783704 18378272 20049024 27567408 36756544 55134816 73513088 110269632 220539264