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116225000 = 23554649
BaseRepresentation
bin1101110110101…
…11001111101000
322002200211201122
412323113033220
5214223200000
615311034412
72610616253
oct673271750
9262624648
10116225000
115a673621
1232b0ba08
131b1048b8
141161609a
15a30c085
hex6ed73e8

116225000 has 48 divisors (see below), whose sum is σ = 272443500. Its totient is φ = 46480000.

The previous prime is 116224991. The next prime is 116225017. The reversal of 116225000 is 522611.

It can be written as a sum of positive squares in 6 ways, for example, as 145924 + 116079076 = 382^2 + 10774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116225000.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22676 + ... + 27324.

Almost surely, 2116225000 is an apocalyptic number.

116225000 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 116225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136221750).

116225000 is an abundant number, since it is smaller than the sum of its proper divisors (156218500).

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

116225000 is an frugal number, since it uses more digits than its factorization.

116225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 116225000 is about 10780.7699168473. The cubic root of 116225000 is about 488.0150156627.

Adding to 116225000 its reverse (522611), we get a palindrome (116747611).

It can be divided in two parts, 1162 and 25000, that added together give a palindrome (26162).

The spelling of 116225000 in words is "one hundred sixteen million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 4649 5000 6250 9298 12500 18596 23245 25000 37192 46490 92980 116225 185960 232450 464900 581125 929800 1162250 2324500 2905625 4649000 5811250 11622500 14528125 23245000 29056250 58112500 116225000