Search a number
-
+
231568416 = 25332343271
BaseRepresentation
bin11011100110101…
…11010000100000
3121010201220011000
431303113100200
5433240142131
634551152000
75511204402
oct1563272040
9533656130
10231568416
11109794862
1265675600
1338c8b141
1422a7cb72
15154e2ce6
hexdcd7420

231568416 has 192 divisors, whose sum is σ = 723824640. Its totient is φ = 71850240.

The previous prime is 231568397. The next prime is 231568427. The reversal of 231568416 is 614865132.

It is a happy number.

231568416 is a `hidden beast` number, since 231 + 5 + 6 + 8 + 416 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 854361 + ... + 854631.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2231568416 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 231568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361912320).

231568416 is an abundant number, since it is smaller than the sum of its proper divisors (492256224).

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

231568416 is a wasteful number, since it uses less digits than its factorization.

231568416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 231568416 is about 15217.3721778762. The cubic root of 231568416 is about 614.0821048341.

The spelling of 231568416 in words is "two hundred thirty-one million, five hundred sixty-eight thousand, four hundred sixteen".