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231145600 = 2752717607
BaseRepresentation
bin11011100011100…
…00000010000000
3121002221102011011
431301300002000
5433133124400
634534130304
75504463610
oct1561600200
9532842134
10231145600
11109526124
12654b0994
1338b7085a
14229aca40
151545c8ba
hexdc70080

231145600 has 192 divisors, whose sum is σ = 692098560. Its totient is φ = 74465280.

The previous prime is 231145589. The next prime is 231145601. The reversal of 231145600 is 6541132.

It is not an unprimeable number, because it can be changed into a prime (231145601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380497 + ... + 381103.

It is an arithmetic number, because the mean of its divisors is an integer number (3604680).

Almost surely, 2231145600 is an apocalyptic number.

231145600 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 231145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

231145600 is an abundant number, since it is smaller than the sum of its proper divisors (460952960).

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

231145600 is a wasteful number, since it uses less digits than its factorization.

231145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 231145600 is about 15203.4732873775. The cubic root of 231145600 is about 613.7081305097.

Adding to 231145600 its reverse (6541132), we get a palindrome (237686732).

The spelling of 231145600 in words is "two hundred thirty-one million, one hundred forty-five thousand, six hundred".