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231330000 = 2435411701
BaseRepresentation
bin11011100100111…
…01000011010000
3121010021210002210
431302131003100
5433210030000
634542112120
75506162326
oct1562350320
9533253083
10231330000
11109641720
126557b640
1338c06775
1422a19d16
1515497350
hexdc9d0d0

231330000 has 200 divisors, whose sum is σ = 815813856. Its totient is φ = 56000000.

The previous prime is 231329983. The next prime is 231330007. The reversal of 231330000 is 33132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329650 + ... + 330350.

Almost surely, 2231330000 is an apocalyptic number.

231330000 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 231330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407906928).

231330000 is an abundant number, since it is smaller than the sum of its proper divisors (584483856).

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

231330000 is a wasteful number, since it uses less digits than its factorization.

231330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 231330000 is about 15209.5364820891. The cubic root of 231330000 is about 613.8712855353.

Adding to 231330000 its reverse (33132), we get a palindrome (231363132).

The spelling of 231330000 in words is "two hundred thirty-one million, three hundred thirty thousand".