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230108736 = 263111317229
BaseRepresentation
bin11011011011100…
…10111001000000
3121000222201211210
431231302321000
5432401434421
634500010120
75462614644
oct1555627100
9530881753
10230108736
11108988110
1265090940
1338899920
14227bcc24
1515305576
hexdb72e40

230108736 has 336 divisors, whose sum is σ = 786018240. Its totient is φ = 58490880.

The previous prime is 230108731. The next prime is 230108737. The reversal of 230108736 is 637801032.

230108736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (230108731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7934770 + ... + 7934798.

It is an arithmetic number, because the mean of its divisors is an integer number (2339340).

Almost surely, 2230108736 is an apocalyptic number.

230108736 is a gapful number since it is divisible by the number (26) 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 230108736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393009120).

230108736 is an abundant number, since it is smaller than the sum of its proper divisors (555909504).

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

230108736 is a wasteful number, since it uses less digits than its factorization.

230108736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 230108736 is about 15169.3353842546. The cubic root of 230108736 is about 612.7891055561.

Adding to 230108736 its reverse (637801032), we get a palindrome (867909768).

The spelling of 230108736 in words is "two hundred thirty million, one hundred eight thousand, seven hundred thirty-six".