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230416100 = 225212718143
BaseRepresentation
bin11011011101111…
…01111011100100
3121001120100110122
431232331323210
5432441303400
634510341112
75465335025
oct1556757344
9531510418
10230416100
11109078032
12651ba798
13389767b5
142285cc4c
1515366685
hexdbbdee4

230416100 has 36 divisors (see below), whose sum is σ = 503967744. Its totient is φ = 91435680.

The previous prime is 230416099. The next prime is 230416103. The reversal of 230416100 is 1614032.

It is a super-5 number, since 5×2304161005 (a number of 43 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (230416103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3629 + ... + 21771.

It is an arithmetic number, because the mean of its divisors is an integer number (13999104).

Almost surely, 2230416100 is an apocalyptic number.

230416100 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 230416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

230416100 is an abundant number, since it is smaller than the sum of its proper divisors (273551644).

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

230416100 is a wasteful number, since it uses less digits than its factorization.

230416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284 (or 18277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 230416100 is about 15179.4630998596. The cubic root of 230416100 is about 613.0618251909.

The spelling of 230416100 in words is "two hundred thirty million, four hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 18143 36286 72572 90715 181430 362860 453575 907150 1814300 2304161 4608322 9216644 11520805 23041610 46083220 57604025 115208050 230416100