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220232382 = 23171925981
BaseRepresentation
bin11010010000001…
…11101010111110
3120100101222000220
431020013222332
5422334414012
633504202210
75312641626
oct1510075276
9510358026
10220232382
11103351937
1261909366
133681c426
142136b886
151450408c
hexd207abe

220232382 has 48 divisors (see below), whose sum is σ = 492294672. Its totient is φ = 65445120.

The previous prime is 220232381. The next prime is 220232461. The reversal of 220232382 is 283232022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220232381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33832 + ... + 39812.

It is an arithmetic number, because the mean of its divisors is an integer number (10256139).

Almost surely, 2220232382 is an apocalyptic number.

220232382 is an abundant number, since it is smaller than the sum of its proper divisors (272062290).

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

220232382 is a wasteful number, since it uses less digits than its factorization.

220232382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 220232382 is about 14840.2285022839. The cubic root of 220232382 is about 603.8935513326.

The spelling of 220232382 in words is "two hundred twenty million, two hundred thirty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 361 646 722 969 1083 1938 2166 5981 6137 11962 12274 17943 18411 35886 36822 101677 113639 203354 227278 305031 340917 610062 681834 1931863 2159141 3863726 4318282 5795589 6477423 11591178 12954846 36705397 73410794 110116191 220232382