Search a number
-
+
231030000 = 24325417151
BaseRepresentation
bin11011100010100…
…11110011110000
3121002201112120200
431301103303300
5433120430000
634531435200
75503502565
oct1561236360
9532645520
10231030000
11109457293
1265455b00
1338b30056
142297c86c
1515438500
hexdc53cf0

231030000 has 300 divisors, whose sum is σ = 861136848. Its totient is φ = 57600000.

The previous prime is 231029999. The next prime is 231030001. The reversal of 231030000 is 30132.

231030000 = 2013 + 2023 + ... + 2243.

It is a happy number.

231030000 is digitally balanced in base 3, 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 (231029999) and next prime (231030001).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231030001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529925 + ... + 1530075.

Almost surely, 2231030000 is an apocalyptic number.

231030000 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 231030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430568424).

231030000 is an abundant number, since it is smaller than the sum of its proper divisors (630106848).

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

231030000 is a wasteful number, since it uses less digits than its factorization.

231030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

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

The square root of 231030000 is about 15199.6710490721. The cubic root of 231030000 is about 613.6058046884.

Adding to 231030000 its reverse (30132), we get a palindrome (231060132).

The spelling of 231030000 in words is "two hundred thirty-one million, thirty thousand".