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116221248 = 263211131783
BaseRepresentation
bin1101110110101…
…10010101000000
322002200122120200
412323112111000
5214223034443
615311005200
72610602313
oct673262500
9262618520
10116221248
115a670820
1232b09800
131b102c90
141161497a
15a30add3
hex6ed6540

116221248 has 336 divisors, whose sum is σ = 419380416. Its totient is φ = 30228480.

The previous prime is 116221243. The next prime is 116221253. The reversal of 116221248 is 842122611.

116221248 is a `hidden beast` number, since 11 + 622 + 1 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (116221243) and next prime (116221253).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116221243) 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, 1400215 + ... + 1400297.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2116221248 is an apocalyptic number.

116221248 is a gapful number since it is divisible by the number (18) 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 116221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

116221248 is an abundant number, since it is smaller than the sum of its proper divisors (303159168).

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

116221248 is a wasteful number, since it uses less digits than its factorization.

116221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 116221248 is about 10780.5959018971. The cubic root of 116221248 is about 488.0097642049.

Adding to 116221248 its reverse (842122611), we get a palindrome (958343859).

The spelling of 116221248 in words is "one hundred sixteen million, two hundred twenty-one thousand, two hundred forty-eight".