Search a number
-
+
116226000 = 24325311587
BaseRepresentation
bin1101110110101…
…11011111010000
322002200220002200
412323113133100
5214223213000
615311043200
72610622212
oct673273720
9262626080
10116226000
115a674350
1232b10500
131b1051a7
14116165b2
15a30c500
hex6ed77d0

116226000 has 240 divisors, whose sum is σ = 443596608. Its totient is φ = 28128000.

The previous prime is 116225999. The next prime is 116226007. The reversal of 116226000 is 622611.

It is a happy number.

116226000 is a `hidden beast` number, since 1 + 1 + 62 + 2 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116226007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197707 + ... + 198293.

Almost surely, 2116226000 is an apocalyptic number.

116226000 is a gapful number since it is divisible by the number (10) 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 116226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

116226000 is an abundant number, since it is smaller than the sum of its proper divisors (327370608).

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

116226000 is a wasteful number, since it uses less digits than its factorization.

116226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116226000 is about 10780.8162956244. The cubic root of 116226000 is about 488.0164152859.

Adding to 116226000 its reverse (622611), we get a palindrome (116848611).

The spelling of 116226000 in words is "one hundred sixteen million, two hundred twenty-six thousand".