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231084000 = 25325372131
BaseRepresentation
bin11011100011000…
…00111111100000
3121002211021122200
431301200333200
5433124142000
634532533200
75504116200
oct1561407740
9532737580
10231084000
11109493914
1265481200
1338b4b7c4
1422994400
1515449500
hexdc60fe0

231084000 has 432 divisors, whose sum is σ = 961296336. Its totient is φ = 52416000.

The previous prime is 231083999. The next prime is 231084001. The reversal of 231084000 is 480132.

It is a happy number.

231084000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231083999) and next prime (231084001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231084001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763935 + ... + 1764065.

It is an arithmetic number, because the mean of its divisors is an integer number (2225223).

Almost surely, 2231084000 is an apocalyptic number.

231084000 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 231084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480648168).

231084000 is an abundant number, since it is smaller than the sum of its proper divisors (730212336).

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

231084000 is a wasteful number, since it uses less digits than its factorization.

231084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 231084000 is about 15201.4472995172. The cubic root of 231084000 is about 613.6536081948.

The spelling of 231084000 in words is "two hundred thirty-one million, eighty-four thousand".