Search a number
-
+
231316416 = 26321723623
BaseRepresentation
bin11011100100110…
…01101111000000
3121010021002110200
431302121233000
5433204111131
634541525200
75506104612
oct1562315700
9533232420
10231316416
111096324a1
1265573800
1338c00526
1422a14db2
15154932e6
hexdc99bc0

231316416 has 84 divisors (see below), whose sum is σ = 702058032. Its totient is φ = 72566784.

The previous prime is 231316411. The next prime is 231316427. The reversal of 231316416 is 614613132.

231316416 is a `hidden beast` number, since 2 + 3 + 13 + 1 + 641 + 6 = 666.

231316416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313164162 = 107014568622170112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231316416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231316411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2020 + ... + 21603.

Almost surely, 2231316416 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 231316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351029016).

231316416 is an abundant number, since it is smaller than the sum of its proper divisors (470741616).

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

231316416 is a wasteful number, since it uses less digits than its factorization.

231316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23658 (or 23645 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 231316416 is about 15209.0899136010. The cubic root of 231316416 is about 613.8592695253.

Adding to 231316416 its reverse (614613132), we get a palindrome (845929548).

The spelling of 231316416 in words is "two hundred thirty-one million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 23623 47246 70869 94492 141738 188984 212607 283476 377968 401591 425214 566952 755936 803182 850428 1133904 1204773 1511872 1606364 1700856 2267808 2409546 3212728 3401712 3614319 4535616 4819092 6425456 6803424 7228638 9638184 12850912 13606848 14457276 19276368 25701824 28914552 38552736 57829104 77105472 115658208 231316416