Search a number
-
+
231590254896 = 2433711131971397
BaseRepresentation
bin1101011110101111011…
…0101101100100110000
3211010202220220220111000
43113223312231210300
512243244101124041
6254220250522000
722506010454340
oct3275366554460
9733686826430
10231590254896
118a242730280
1238a73136300
1318ab9cb74b0
14b2cd804d20
1560569c4bb6
hex35ebdad930

231590254896 has 1280 divisors, whose sum is σ = 955138867200. Its totient is φ = 51732172800.

The previous prime is 231590254879. The next prime is 231590254919. The reversal of 231590254896 is 698452095132.

231590254896 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 9 + 0 + 2 + 548 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 583350570 + ... + 583350966.

It is an arithmetic number, because the mean of its divisors is an integer number (746202240).

Almost surely, 2231590254896 is an apocalyptic number.

231590254896 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 231590254896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477569433600).

231590254896 is an abundant number, since it is smaller than the sum of its proper divisors (723548612304).

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

231590254896 is a wasteful number, since it uses less digits than its factorization.

231590254896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 231590254896 in words is "two hundred thirty-one billion, five hundred ninety million, two hundred fifty-four thousand, eight hundred ninety-six".