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231186340 = 2257112361107
BaseRepresentation
bin11011100011110…
…01111110100100
3121010000111001001
431301321332210
5433140430330
634535043044
75505023440
oct1561717644
9533014031
10231186340
111095537a0
1265510484
1338b86268
14229bd820
15154699ca
hexdc79fa4

231186340 has 192 divisors, whose sum is σ = 647958528. Its totient is φ = 67161600.

The previous prime is 231186299. The next prime is 231186343. The reversal of 231186340 is 43681132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 231186299 and 231186308.

It is not an unprimeable number, because it can be changed into a prime (231186343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2160567 + ... + 2160673.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2231186340 is an apocalyptic number.

231186340 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 231186340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323979264).

231186340 is an abundant number, since it is smaller than the sum of its proper divisors (416772188).

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

231186340 is a wasteful number, since it uses less digits than its factorization.

231186340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 231186340 is about 15204.8130537669. The cubic root of 231186340 is about 613.7441842647.

The spelling of 231186340 in words is "two hundred thirty-one million, one hundred eighty-six thousand, three hundred forty".