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230730400 = 2552288413
BaseRepresentation
bin11011100000010…
…10101010100000
3121002011022121101
431300022222200
5433031333100
634521204144
75501114245
oct1560125240
9532138541
10230730400
1110927218a
1265330654
1338a56884
14229015cc
15153c986a
hexdc0aaa0

230730400 has 36 divisors (see below), whose sum is σ = 563272542. Its totient is φ = 92291840.

The previous prime is 230730391. The next prime is 230730419. The reversal of 230730400 is 4037032.

It can be written as a sum of positive squares in 3 ways, for example, as 200392336 + 30338064 = 14156^2 + 5508^2 .

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, 143407 + ... + 145006.

Almost surely, 2230730400 is an apocalyptic number.

230730400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230730400 is an abundant number, since it is smaller than the sum of its proper divisors (332542142).

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

230730400 is a wasteful number, since it uses less digits than its factorization.

230730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288433 (or 288420 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 230730400 is about 15189.8123754048. The cubic root of 230730400 is about 613.3404483527.

Adding to 230730400 its reverse (4037032), we get a palindrome (234767432).

The spelling of 230730400 in words is "two hundred thirty million, seven hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 288413 576826 1153652 1442065 2307304 2884130 4614608 5768260 7210325 9229216 11536520 14420650 23073040 28841300 46146080 57682600 115365200 230730400