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115032224 = 2541432039
BaseRepresentation
bin1101101101101…
…00000010100000
322000110020112202
412312310002200
5213422012344
615225312332
72564520626
oct666640240
9260406482
10115032224
1159a2945a
12326356a8
131aaa7a08
14113c5516
15a17394e
hex6db40a0

115032224 has 48 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 54781440.

The previous prime is 115032209. The next prime is 115032257. The reversal of 115032224 is 422230511.

It is a junction number, because it is equal to n+sod(n) for n = 115032196 and 115032205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55397 + ... + 57435.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2115032224 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 115032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118752480).

115032224 is an abundant number, since it is smaller than the sum of its proper divisors (122472736).

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

115032224 is a wasteful number, since it uses less digits than its factorization.

115032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 115032224 is about 10725.3076412754. The cubic root of 115032224 is about 486.3398301753.

Adding to 115032224 its reverse (422230511), we get a palindrome (537262735).

The spelling of 115032224 in words is "one hundred fifteen million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 328 344 656 688 1312 1376 1763 2039 3526 4078 7052 8156 14104 16312 28208 32624 56416 65248 83599 87677 167198 175354 334396 350708 668792 701416 1337584 1402832 2675168 2805664 3594757 7189514 14379028 28758056 57516112 115032224