Search a number
-
+
114500000 = 2556229
BaseRepresentation
bin1101101001100…
…10000110100000
321222110012110202
412310302012200
5213303000000
615210044332
72560143146
oct664620640
9258405422
10114500000
11596a55aa
12324196a8
131a94c6a4
14112c7596
15a0badd5
hex6d321a0

114500000 has 84 divisors (see below), whose sum is σ = 283004190. Its totient is φ = 45600000.

The previous prime is 114499997. The next prime is 114500011. The reversal of 114500000 is 5411.

It can be written as a sum of positive squares in 7 ways, for example, as 32126224 + 82373776 = 5668^2 + 9076^2 .

It is a super-2 number, since 2×1145000002 = 26220500000000000, which contains 22 as substring.

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 13 ways as a sum of consecutive naturals, for example, 499886 + ... + 500114.

Almost surely, 2114500000 is an apocalyptic number.

114500000 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 114500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141502095).

114500000 is an abundant number, since it is smaller than the sum of its proper divisors (168504190).

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

114500000 is an frugal number, since it uses more digits than its factorization.

114500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 114500000 is about 10700.4672795163. The cubic root of 114500000 is about 485.5886147110.

Adding to 114500000 its reverse (5411), we get a palindrome (114505411).

The spelling of 114500000 in words is "one hundred fourteen million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 1000 1145 1250 1832 2000 2290 2500 3125 3664 4000 4580 5000 5725 6250 7328 9160 10000 11450 12500 15625 18320 20000 22900 25000 28625 31250 36640 45800 50000 57250 62500 91600 100000 114500 125000 143125 183200 229000 250000 286250 458000 500000 572500 715625 916000 1145000 1431250 2290000 2862500 3578125 4580000 5725000 7156250 11450000 14312500 22900000 28625000 57250000 114500000