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116226264 = 233711109577
BaseRepresentation
bin1101110110101…
…11100011011000
322002200220110110
412323113203120
5214223220024
615311044320
72610623040
oct673274330
9262626413
10116226264
115a674570
1232b106a0
131b10534b
1411616720
15a30c629
hex6ed78d8

116226264 has 128 divisors (see below), whose sum is σ = 366220800. Its totient is φ = 29859840.

The previous prime is 116226259. The next prime is 116226269. The reversal of 116226264 is 462622611.

It is an interprime number because it is at equal distance from previous prime (116226259) and next prime (116226269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116226269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201144 + ... + 201720.

It is an arithmetic number, because the mean of its divisors is an integer number (2861100).

Almost surely, 2116226264 is an apocalyptic number.

116226264 is a gapful number since it is divisible by the number (14) 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 116226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183110400).

116226264 is an abundant number, since it is smaller than the sum of its proper divisors (249994536).

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

116226264 is a wasteful number, since it uses less digits than its factorization.

116226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 116226264 is about 10780.8285395882. The cubic root of 116226264 is about 488.0167847850.

Adding to 116226264 its reverse (462622611), we get a palindrome (578848875).

The spelling of 116226264 in words is "one hundred sixteen million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 109 132 154 168 218 231 264 308 327 436 462 577 616 654 763 872 924 1154 1199 1308 1526 1731 1848 2289 2308 2398 2616 3052 3462 3597 4039 4578 4616 4796 6104 6347 6924 7194 8078 8393 9156 9592 12117 12694 13848 14388 16156 16786 18312 19041 24234 25179 25388 28776 32312 33572 38082 44429 48468 50358 50776 62893 67144 76164 88858 96936 100716 125786 133287 152328 177716 188679 201432 251572 266574 355432 377358 440251 503144 533148 691823 754716 880502 1066296 1320753 1383646 1509432 1761004 2075469 2641506 2767292 3522008 4150938 4842761 5283012 5534584 8301876 9685522 10566024 14528283 16603752 19371044 29056566 38742088 58113132 116226264