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230231320 = 235112771889
BaseRepresentation
bin11011011100100…
…00110100011000
3121001012221222221
431232100310120
5432414400240
634502353424
75463635224
oct1556206430
9531187887
10230231320
11108a61220
126512b874
1338910667
1422811784
151532ba4a
hexdb90d18

230231320 has 64 divisors (see below), whose sum is σ = 567453600. Its totient is φ = 83374080.

The previous prime is 230231299. The next prime is 230231347. The reversal of 230231320 is 23132032.

It is a junction number, because it is equal to n+sod(n) for n = 230231294 and 230231303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120936 + ... + 122824.

Almost surely, 2230231320 is an apocalyptic number.

230231320 is a gapful number since it is divisible by the number (20) 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 230231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283726800).

230231320 is an abundant number, since it is smaller than the sum of its proper divisors (337222280).

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

230231320 is a wasteful number, since it uses less digits than its factorization.

230231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 230231320 is about 15173.3753660812. The cubic root of 230231320 is about 612.8979016641.

Adding to 230231320 its reverse (23132032), we get a palindrome (253363352).

The spelling of 230231320 in words is "two hundred thirty million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 277 440 554 1108 1385 1889 2216 2770 3047 3778 5540 6094 7556 9445 11080 12188 15112 15235 18890 20779 24376 30470 37780 41558 60940 75560 83116 103895 121880 166232 207790 415580 523253 831160 1046506 2093012 2616265 4186024 5232530 5755783 10465060 11511566 20930120 23023132 28778915 46046264 57557830 115115660 230231320