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116224 = 29227
BaseRepresentation
bin11100011000000000
312220102121
4130120000
512204344
62254024
7662563
oct343000
9186377
10116224
117a359
1257314
1340b94
14304da
1524684
hex1c600

116224 has 20 divisors (see below), whose sum is σ = 233244. Its totient is φ = 57856.

The previous prime is 116201. The next prime is 116239. The reversal of 116224 is 422611.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 116198 and 116207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 399 + ... + 625.

2116224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622).

116224 is an abundant number, since it is smaller than the sum of its proper divisors (117020).

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

116224 is an frugal number, since it uses more digits than its factorization.

116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 116224 is about 340.9164120426. The cubic root of 116224 is about 48.8013616031.

Adding to 116224 its reverse (422611), we get a palindrome (538835).

The spelling of 116224 in words is "one hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 512 908 1816 3632 7264 14528 29056 58112 116224