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230230400 = 275271947
BaseRepresentation
bin11011011100100…
…00100110000000
3121001012220201212
431232100212000
5432414333100
634502345252
75463632441
oct1556204600
9531186655
10230230400
11108a60564
126512b228
133891010a
14228112c8
151532b635
hexdb90980

230230400 has 48 divisors (see below), whose sum is σ = 568748940. Its totient is φ = 92090880.

The previous prime is 230230379. The next prime is 230230423. The reversal of 230230400 is 4032032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32774 + ... + 39173.

Almost surely, 2230230400 is an apocalyptic number.

230230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230230400 is an abundant number, since it is smaller than the sum of its proper divisors (338518540).

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

230230400 is an equidigital number, since it uses as much as digits as its factorization.

230230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71971 (or 71954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230230400 is about 15173.3450497904. The cubic root of 230230400 is about 612.8970852868.

Adding to 230230400 its reverse (4032032), we get a palindrome (234262432).

The spelling of 230230400 in words is "two hundred thirty million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 71947 143894 287788 359735 575576 719470 1151152 1438940 1798675 2302304 2877880 3597350 4604608 5755760 7194700 9209216 11511520 14389400 23023040 28778800 46046080 57557600 115115200 230230400