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230404100 = 22529723753
BaseRepresentation
bin11011011101110…
…11000000000100
3121001112202000012
431232323000010
5432440412400
634510205352
75465255033
oct1556730004
9531482005
10230404100
1110906a013
12651b3858
13389711b4
142285871a
1515362d35
hexdbbb004

230404100 has 36 divisors (see below), whose sum is σ = 505152564. Its totient is φ = 91207680.

The previous prime is 230404093. The next prime is 230404103. The reversal of 230404100 is 1404032.

It can be written as a sum of positive squares in 6 ways, for example, as 760384 + 229643716 = 872^2 + 15154^2 .

It is not an unprimeable number, because it can be changed into a prime (230404103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2177 + ... + 21576.

Almost surely, 2230404100 is an apocalyptic number.

230404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230404100 is an abundant number, since it is smaller than the sum of its proper divisors (274748464).

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

230404100 is a wasteful number, since it uses less digits than its factorization.

230404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23864 (or 23857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 230404100 is about 15179.0678238158. The cubic root of 230404100 is about 613.0511823153.

Adding to 230404100 its reverse (1404032), we get a palindrome (231808132).

The spelling of 230404100 in words is "two hundred thirty million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 23753 47506 95012 118765 237530 475060 593825 1187650 2304041 2375300 4608082 9216164 11520205 23040410 46080820 57601025 115202050 230404100