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230002920 = 233257107853
BaseRepresentation
bin11011011010110…
…01000011101000
3121000210100200200
431231121003220
5432340043140
634453432200
75461664310
oct1555310350
9530710620
10230002920
11108915664
126503b660
1338860704
1422792440
15152d4030
hexdb590e8

230002920 has 192 divisors, whose sum is σ = 863291520. Its totient is φ = 52019712.

The previous prime is 230002901. The next prime is 230002931. The reversal of 230002920 is 29200032.

230002920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 230002893 and 230002902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269214 + ... + 270066.

It is an arithmetic number, because the mean of its divisors is an integer number (4496310).

Almost surely, 2230002920 is an apocalyptic number.

230002920 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 230002920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760).

230002920 is an abundant number, since it is smaller than the sum of its proper divisors (633288600).

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

230002920 is a wasteful number, since it uses less digits than its factorization.

230002920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 230002920 is about 15165.8471573467. The cubic root of 230002920 is about 612.6951603558.

Adding to 230002920 its reverse (29200032), we get a palindrome (259202952).

The spelling of 230002920 in words is "two hundred thirty million, two thousand, nine hundred twenty".