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230108040 = 23345293179
BaseRepresentation
bin11011011011100…
…10101110001000
3121000222200220000
431231302232020
5432401424130
634500003000
75462612631
oct1555625610
9530880800
10230108040
11108987638
1265090460
1338899506
14227bc888
1515305260
hexdb72b88

230108040 has 320 divisors, whose sum is σ = 836352000. Its totient is φ = 56609280.

The previous prime is 230108029. The next prime is 230108051. The reversal of 230108040 is 40801032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230108029) and next prime (230108051).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2912721 + ... + 2912799.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2230108040 is an apocalyptic number.

230108040 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 230108040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418176000).

230108040 is an abundant number, since it is smaller than the sum of its proper divisors (606243960).

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

230108040 is a wasteful number, since it uses less digits than its factorization.

230108040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 230108040 is about 15169.3124432190. The cubic root of 230108040 is about 612.7884877299.

Adding to 230108040 its reverse (40801032), we get a palindrome (270909072).

The spelling of 230108040 in words is "two hundred thirty million, one hundred eight thousand, forty".