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231300 = 223252257
BaseRepresentation
bin111000011110000100
3102202021200
4320132010
524400200
64542500
71652226
oct703604
9382250
10231300
11148863
12b1a30
1381384
1460416
1548800
hex38784

231300 has 54 divisors (see below), whose sum is σ = 727818. Its totient is φ = 61440.

The previous prime is 231299. The next prime is 231317. The reversal of 231300 is 3132.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 161604 = 264^2 + 402^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 772 + ... + 1028.

2231300 is an apocalyptic number.

231300 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 231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363909).

231300 is an abundant number, since it is smaller than the sum of its proper divisors (496518).

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

231300 is a wasteful number, since it uses less digits than its factorization.

231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 231300 is about 480.9365862564. The cubic root of 231300 is about 61.3844747783.

Adding to 231300 its reverse (3132), we get a palindrome (234432).

The spelling of 231300 in words is "two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 257 300 450 514 771 900 1028 1285 1542 2313 2570 3084 3855 4626 5140 6425 7710 9252 11565 12850 15420 19275 23130 25700 38550 46260 57825 77100 115650 231300