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231340200 = 2335271319223
BaseRepresentation
bin11011100100111…
…11100010101000
3121010022022002120
431302133202220
5433210341300
634542231240
75506234140
oct1562374250
9533268076
10231340200
11109649353
1265585520
1338c0b2c0
1422a1d920
151549a3a0
hexdc9f8a8

231340200 has 384 divisors, whose sum is σ = 933273600. Its totient is φ = 46033920.

The previous prime is 231340171. The next prime is 231340229. The reversal of 231340200 is 2043132.

It is an interprime number because it is at equal distance from previous prime (231340171) and next prime (231340229).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231340200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1037289 + ... + 1037511.

It is an arithmetic number, because the mean of its divisors is an integer number (2430400).

Almost surely, 2231340200 is an apocalyptic number.

231340200 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 231340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466636800).

231340200 is an abundant number, since it is smaller than the sum of its proper divisors (701933400).

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

231340200 is a wasteful number, since it uses less digits than its factorization.

231340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 231340200 is about 15209.8717943315. The cubic root of 231340200 is about 613.8803078484.

Adding to 231340200 its reverse (2043132), we get a palindrome (233383332).

It can be divided in two parts, 231340 and 200, that added together give a triangular number (231540 = T680).

The spelling of 231340200 in words is "two hundred thirty-one million, three hundred forty thousand, two hundred".