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116022816 = 253271319233
BaseRepresentation
bin1101110101001…
…01111000100000
322002022120101100
412322211320200
5214200212231
615302434400
72606114640
oct672457040
9262276340
10116022816
115a545728
1232a32a00
131b063870
14115a2520
15a2bc1e6
hex6ea5e20

116022816 has 288 divisors, whose sum is σ = 429287040. Its totient is φ = 28864512.

The previous prime is 116022811. The next prime is 116022817. The reversal of 116022816 is 618220611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1160228162 = 26922587665139712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116022816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116022811) 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 47 ways as a sum of consecutive naturals, for example, 497836 + ... + 498068.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 2116022816 is an apocalyptic number.

116022816 is a gapful number since it is divisible by the number (16) 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 116022816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

116022816 is an abundant number, since it is smaller than the sum of its proper divisors (313264224).

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

116022816 is a wasteful number, since it uses less digits than its factorization.

116022816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116022816 is about 10771.3887683994. The cubic root of 116022816 is about 487.7318691860.

The spelling of 116022816 in words is "one hundred sixteen million, twenty-two thousand, eight hundred sixteen".