Search a number
-
+
231261667056 = 2433731279579
BaseRepresentation
bin1101011101100001000…
…1001111111011110000
3211002221000121220201000
43113120101033323300
512242110441321211
6254123512042000
722464610510320
oct3273021177360
9732830556630
10231261667056
118a094200382
12389a1093300
1318a66bba414
14b29bd0d280
156037c1a656
hex35d844fef0

231261667056 has 240 divisors, whose sum is σ = 783907564800. Its totient is φ = 63942514560.

The previous prime is 231261667051. The next prime is 231261667073. The reversal of 231261667056 is 650766162132.

231261667056 is a `hidden beast` number, since 23 + 1 + 2 + 616 + 6 + 7 + 0 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231261667051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2866275 + ... + 2945853.

It is an arithmetic number, because the mean of its divisors is an integer number (3266281520).

Almost surely, 2231261667056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231261667056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391953782400).

231261667056 is an abundant number, since it is smaller than the sum of its proper divisors (552645897744).

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

231261667056 is a wasteful number, since it uses less digits than its factorization.

231261667056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79665 (or 79622 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 231261667056 in words is "two hundred thirty-one billion, two hundred sixty-one million, six hundred sixty-seven thousand, fifty-six".