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220111332 = 22373531009
BaseRepresentation
bin11010001111010…
…10000111100100
3120100011210222120
431013222013210
5422322030312
633501425540
75311626000
oct1507520744
9510153876
10220111332
111032799a1
126186b2b0
13367a92bc
1421339700
15144cd28c
hexd1ea1e4

220111332 has 96 divisors (see below), whose sum is σ = 610848000. Its totient is φ = 61641216.

The previous prime is 220111327. The next prime is 220111343. The reversal of 220111332 is 233111022.

220111332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217644 + ... + 218652.

It is an arithmetic number, because the mean of its divisors is an integer number (6363000).

Almost surely, 2220111332 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 220111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305424000).

220111332 is an abundant number, since it is smaller than the sum of its proper divisors (390736668).

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

220111332 is a wasteful number, since it uses less digits than its factorization.

220111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 220111332 is about 14836.1495004600. The cubic root of 220111332 is about 603.7828883576.

Adding to 220111332 its reverse (233111022), we get a palindrome (453222354).

The spelling of 220111332 in words is "two hundred twenty million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 343 371 588 636 686 742 1009 1029 1113 1372 1484 2018 2058 2226 2597 3027 4036 4116 4452 5194 6054 7063 7791 10388 12108 14126 15582 18179 21189 28252 31164 36358 42378 49441 53477 54537 72716 84756 98882 106954 109074 148323 160431 197764 213908 218148 296646 320862 346087 374339 593292 641724 692174 748678 1038261 1123017 1384348 1497356 2076522 2246034 2620373 4153044 4492068 5240746 7861119 10481492 15722238 18342611 31444476 36685222 55027833 73370444 110055666 220111332