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230143320 = 233251189653
BaseRepresentation
bin11011011011110…
…11010101011000
3121001001111021200
431231323111120
5432404041240
634500434200
75463120531
oct1555732530
9531044250
10230143320
11108a010a0
12650a8960
13388ac5a4
14227cb688
1515310930
hexdb7b558

230143320 has 192 divisors, whose sum is σ = 826394400. Its totient is φ = 55080960.

The previous prime is 230143283. The next prime is 230143327. The reversal of 230143320 is 23341032.

230143320 is a `hidden beast` number, since 2 + 301 + 43 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230143293 and 230143302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230143327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352114 + ... + 352766.

Almost surely, 2230143320 is an apocalyptic number.

230143320 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 230143320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413197200).

230143320 is an abundant number, since it is smaller than the sum of its proper divisors (596251080).

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

230143320 is a wasteful number, since it uses less digits than its factorization.

230143320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230143320 is about 15170.4752727131. The cubic root of 230143320 is about 612.8198035603.

Adding to 230143320 its reverse (23341032), we get a palindrome (253484352).

The spelling of 230143320 in words is "two hundred thirty million, one hundred forty-three thousand, three hundred twenty".