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230720000 = 29547103
BaseRepresentation
bin11011100000010…
…00001000000000
3121002010210100012
431300020020000
5433031020000
634521044052
75501042030
oct1560101000
9532123305
10230720000
11109265395
1265326628
1338a51c14
14228db8c0
15153c6735
hexdc08200

230720000 has 200 divisors, whose sum is σ = 664737216. Its totient is φ = 78336000.

The previous prime is 230719999. The next prime is 230720033. The reversal of 230720000 is 27032.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2239949 + ... + 2240051.

Almost surely, 2230720000 is an apocalyptic number.

230720000 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 230720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332368608).

230720000 is an abundant number, since it is smaller than the sum of its proper divisors (434017216).

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

230720000 is an frugal number, since it uses more digits than its factorization.

230720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 230720000 is about 15189.4700368380. The cubic root of 230720000 is about 613.3312329271.

Adding to 230720000 its reverse (27032), we get a palindrome (230747032).

The spelling of 230720000 in words is "two hundred thirty million, seven hundred twenty thousand".