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115012224 = 273411093
BaseRepresentation
bin1101101101011…
…11001010000000
322000102020010000
412312233022000
5213420342344
615225040000
72564405415
oct666571200
9260366100
10115012224
1159a15428
1232626000
131aa9b892
14113bc10c
15a16ca69
hex6daf280

115012224 has 80 divisors (see below), whose sum is σ = 342305370. Its totient is φ = 38333952.

The previous prime is 115012223. The next prime is 115012277. The reversal of 115012224 is 422210511.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 34012224 = 9000^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 115012197 and 115012206.

It is not an unprimeable number, because it can be changed into a prime (115012223) 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 9 ways as a sum of consecutive naturals, for example, 4822 + ... + 15914.

Almost surely, 2115012224 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 115012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171152685).

115012224 is an abundant number, since it is smaller than the sum of its proper divisors (227293146).

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

115012224 is an equidigital number, since it uses as much as digits as its factorization.

115012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 115012224 is about 10724.3752265575. The cubic root of 115012224 is about 486.3116428262.

Adding to 115012224 its reverse (422210511), we get a palindrome (537222735).

The spelling of 115012224 in words is "one hundred fifteen million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 11093 22186 33279 44372 66558 88744 99837 133116 177488 199674 266232 299511 354976 399348 532464 599022 709952 798696 898533 1064928 1198044 1419904 1597392 1797066 2129856 2396088 3194784 3594132 4259712 4792176 6389568 7188264 9584352 12779136 14376528 19168704 28753056 38337408 57506112 115012224