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231085296 = 243213197389
BaseRepresentation
bin11011100011000…
…01010011110000
3121002211100102200
431301201103300
5433124212141
634532543200
75504123031
oct1561412360
9532740380
10231085296
11109494892
1265481b00
1338b4c280
1422994a88
1515449ab6
hexdc614f0

231085296 has 240 divisors, whose sum is σ = 751514400. Its totient is φ = 65691648.

The previous prime is 231085289. The next prime is 231085297. The reversal of 231085296 is 692580132.

231085296 is a `hidden beast` number, since 23 + 108 + 529 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 231085296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231085297) 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 47 ways as a sum of consecutive naturals, for example, 2596420 + ... + 2596508.

It is an arithmetic number, because the mean of its divisors is an integer number (3131310).

Almost surely, 2231085296 is an apocalyptic number.

231085296 is a gapful number since it is divisible by the number (26) 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 231085296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375757200).

231085296 is an abundant number, since it is smaller than the sum of its proper divisors (520429104).

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

231085296 is a wasteful number, since it uses less digits than its factorization.

231085296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 231085296 is about 15201.4899269776. The cubic root of 231085296 is about 613.6547553874.

The spelling of 231085296 in words is "two hundred thirty-one million, eighty-five thousand, two hundred ninety-six".