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116022933 = 32132813529
BaseRepresentation
bin1101110101001…
…01111010010101
322002022120112200
412322211322111
5214200213213
615302435113
72606115165
oct672457225
9262276480
10116022933
115a545824
1232a32a99
131b063930
14115a25a5
15a2bc273
hex6ea5e95

116022933 has 24 divisors (see below), whose sum is σ = 181173720. Its totient is φ = 71124480.

The previous prime is 116022919. The next prime is 116022937. The reversal of 116022933 is 339220611.

116022933 is a `hidden beast` number, since 1 + 1 + 602 + 29 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288369 + 115734564 = 537^2 + 10758^2 .

It is not a de Polignac number, because 116022933 - 29 = 116022421 is a prime.

It is a super-2 number, since 2×1160229332 = 26922641963844978, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116022897 and 116022906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116022937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31113 + ... + 34641.

It is an arithmetic number, because the mean of its divisors is an integer number (7548905).

Almost surely, 2116022933 is an apocalyptic number.

116022933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

116022933 is a deficient number, since it is larger than the sum of its proper divisors (65150787).

116022933 is a wasteful number, since it uses less digits than its factorization.

116022933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 116022933 is about 10771.3941994525. The cubic root of 116022933 is about 487.7320331325.

It can be divided in two parts, 11602 and 2933, that added together give a triangular number (14535 = T170).

The spelling of 116022933 in words is "one hundred sixteen million, twenty-two thousand, nine hundred thirty-three".

Divisors: 1 3 9 13 39 117 281 843 2529 3529 3653 10587 10959 31761 32877 45877 137631 412893 991649 2974947 8924841 12891437 38674311 116022933