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116229568 = 2672132851
BaseRepresentation
bin1101110110110…
…00010111000000
322002201001222211
412323120113000
5214223321233
615311111504
72610635500
oct673302700
9262631884
10116229568
115a676aa4
1232b12594
131b1069c0
1411617a00
15a30d5cd
hex6ed85c0

116229568 has 84 divisors (see below), whose sum is σ = 289038792. Its totient is φ = 45964800.

The previous prime is 116229563. The next prime is 116229577. The reversal of 116229568 is 865922611.

It is a self number, because there is not a number n which added to its sum of digits gives 116229568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116229563) 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 11 ways as a sum of consecutive naturals, for example, 39343 + ... + 42193.

It is an arithmetic number, because the mean of its divisors is an integer number (3440938).

Almost surely, 2116229568 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 116229568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144519396).

116229568 is an abundant number, since it is smaller than the sum of its proper divisors (172809224).

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

116229568 is a wasteful number, since it uses less digits than its factorization.

116229568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2873 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 116229568 is about 10780.9817734750. The cubic root of 116229568 is about 488.0214090760.

The spelling of 116229568 in words is "one hundred sixteen million, two hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1274 1456 1568 2548 2851 2912 3136 5096 5702 5824 10192 11404 19957 20384 22808 37063 39914 40768 45616 74126 79828 91232 139699 148252 159656 182464 259441 279398 296504 319312 518882 558796 593008 638624 1037764 1117592 1186016 1277248 1816087 2075528 2235184 2372032 3632174 4151056 4470368 7264348 8302112 8940736 14528696 16604224 29057392 58114784 116229568