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116225280 = 283451959
BaseRepresentation
bin1101110110101…
…11010100000000
322002200212010000
412323113110000
5214223202110
615311040000
72610620133
oct673272400
9262625100
10116225280
115a673856
1232b10000
131b104a72
141161621a
15a30c1c0
hex6ed7500

116225280 has 360 divisors, whose sum is σ = 445183200. Its totient is φ = 28864512.

The previous prime is 116225273. The next prime is 116225387. The reversal of 116225280 is 82522611.

It is a happy number.

116225280 is a `hidden beast` number, since 11 + 622 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1162252802 = 27016631422156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1969891 + ... + 1969949.

It is an arithmetic number, because the mean of its divisors is an integer number (1236620).

Almost surely, 2116225280 is an apocalyptic number.

116225280 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 116225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222591600).

116225280 is an abundant number, since it is smaller than the sum of its proper divisors (328957920).

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

116225280 is an equidigital number, since it uses as much as digits as its factorization.

116225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116225280 is about 10780.7829029250. The cubic root of 116225280 is about 488.0154075580.

Adding to 116225280 its reverse (82522611), we get a palindrome (198747891).

The spelling of 116225280 in words is "one hundred sixteen million, two hundred twenty-five thousand, two hundred eighty".