Search a number
-
+
1145036224 = 26176591597
BaseRepresentation
bin100010000111111…
…1101110111000000
32221210120212102001
41010033331313000
54321112124344
6305342033344
740242435013
oct10417756700
92853525361
101145036224
11538385732
1227b578854
131532bb937
14ac10337a
156a7ceed4
hex443fddc0

1145036224 has 56 divisors (see below), whose sum is σ = 2410998480. Its totient is φ = 537686016.

The previous prime is 1145036219. The next prime is 1145036239. The reversal of 1145036224 is 4226305411.

It is a super-2 number, since 2×11450362242 = 2622215908544356352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145036192 and 1145036201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716194 + ... + 717790.

Almost surely, 21145036224 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 1145036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205499240).

1145036224 is an abundant number, since it is smaller than the sum of its proper divisors (1265962256).

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

1145036224 is a wasteful number, since it uses less digits than its factorization.

1145036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1145036224 is about 33838.3838857591. The cubic root of 1145036224 is about 1046.1799889395.

It can be divided in two parts, 11450 and 36224, that added together give a palindrome (47674).

The spelling of 1145036224 in words is "one billion, one hundred forty-five million, thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 659 1088 1318 1597 2636 3194 5272 6388 10544 11203 12776 21088 22406 25552 27149 42176 44812 51104 54298 89624 102208 108596 179248 217192 358496 434384 716992 868768 1052423 1737536 2104846 4209692 8419384 16838768 17891191 33677536 35782382 67355072 71564764 143129528 286259056 572518112 1145036224