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213330282 = 231131127821
BaseRepresentation
bin11001011011100…
…10100101101010
3112212102022010120
430231302211222
5414103032112
633100224110
75200164114
oct1455624552
9485368116
10213330282
11aa468220
125b53b036
1335273949
14204923b4
1513adde8c
hexcb7296a

213330282 has 64 divisors (see below), whose sum is σ = 484835328. Its totient is φ = 61992000.

The previous prime is 213330277. The next prime is 213330283. The reversal of 213330282 is 282033312.

It is not an unprimeable number, because it can be changed into a prime (213330283) 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, 259432 + ... + 260252.

It is an arithmetic number, because the mean of its divisors is an integer number (7575552).

Almost surely, 2213330282 is an apocalyptic number.

213330282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213330282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242417664).

213330282 is an abundant number, since it is smaller than the sum of its proper divisors (271505046).

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

213330282 is a wasteful number, since it uses less digits than its factorization.

213330282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 213330282 is about 14605.8304111748. The cubic root of 213330282 is about 597.5177840566.

Adding to 213330282 its reverse (282033312), we get a palindrome (495363594).

The spelling of 213330282 in words is "two hundred thirteen million, three hundred thirty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 127 186 254 341 381 682 762 821 1023 1397 1642 2046 2463 2794 3937 4191 4926 7874 8382 9031 11811 18062 23622 25451 27093 43307 50902 54186 76353 86614 104267 129921 152706 208534 259842 279961 312801 559922 625602 839883 1146937 1679766 2293874 3232277 3440811 6464554 6881622 9696831 19393662 35555047 71110094 106665141 213330282