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231400 = 23521389
BaseRepresentation
bin111000011111101000
3102202102101
4320133220
524401100
64543144
71652431
oct703750
9382371
10231400
11148944
12b1ab4
1381430
1460488
154886a
hex387e8

231400 has 48 divisors (see below), whose sum is σ = 585900. Its totient is φ = 84480.

The previous prime is 231379. The next prime is 231409. The reversal of 231400 is 4132.

231400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17956 + 213444 = 134^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (231409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2556 + ... + 2644.

2231400 is an apocalyptic number.

231400 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 231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292950).

231400 is an abundant number, since it is smaller than the sum of its proper divisors (354500).

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

231400 is a wasteful number, since it uses less digits than its factorization.

231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 231400 is about 481.0405388322. The cubic root of 231400 is about 61.3933198036.

Adding to 231400 its reverse (4132), we get a palindrome (235532).

The spelling of 231400 in words is "two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 89 100 104 130 178 200 260 325 356 445 520 650 712 890 1157 1300 1780 2225 2314 2600 3560 4450 4628 5785 8900 9256 11570 17800 23140 28925 46280 57850 115700 231400