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231430400 = 285236161
BaseRepresentation
bin11011100101101…
…01100100000000
3121010110212211022
431302311210000
5433221233100
634544205012
75510061125
oct1562654400
9533425738
10231430400
111097000a3
1265609768
1338c40386
1422a4474c
15154b6e85
hexdcb5900

231430400 has 54 divisors (see below), whose sum is σ = 572842242. Its totient is φ = 92569600.

The previous prime is 231430399. The next prime is 231430417. The reversal of 231430400 is 4034132.

It can be written as a sum of positive squares in 3 ways, for example, as 36772096 + 194658304 = 6064^2 + 13952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11681 + ... + 24480.

Almost surely, 2231430400 is an apocalyptic number.

231430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231430400 is an abundant number, since it is smaller than the sum of its proper divisors (341411842).

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

231430400 is an equidigital number, since it uses as much as digits as its factorization.

231430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36187 (or 36168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 231430400 is about 15212.8366848527. The cubic root of 231430400 is about 613.9600818620.

Adding to 231430400 its reverse (4034132), we get a palindrome (235464532).

The spelling of 231430400 in words is "two hundred thirty-one million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 36161 72322 144644 180805 289288 361610 578576 723220 904025 1157152 1446440 1808050 2314304 2892880 3616100 4628608 5785760 7232200 9257216 11571520 14464400 23143040 28928800 46286080 57857600 115715200 231430400