Search a number
-
+
1145160224 = 251321071979
BaseRepresentation
bin100010001000001…
…1100001000100000
32221210211011111122
41010100130020200
54321130111344
6305344431412
740243462355
oct10420341040
92853734448
101145160224
1153845a90a
1227b618568
13153333200
14ac13662c
156a806aee
hex4441c220

1145160224 has 72 divisors (see below), whose sum is σ = 2465361360. Its totient is φ = 523331328.

The previous prime is 1145160199. The next prime is 1145160227. The reversal of 1145160224 is 4220615411.

It is a super-2 number, since 2×11451602242 = 2622783877263460352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1145160193 and 1145160202.

It is not an unprimeable number, because it can be changed into a prime (1145160227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577667 + ... + 579645.

It is an arithmetic number, because the mean of its divisors is an integer number (34241130).

Almost surely, 21145160224 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 1145160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232680680).

1145160224 is an abundant number, since it is smaller than the sum of its proper divisors (1320201136).

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

1145160224 is a wasteful number, since it uses less digits than its factorization.

1145160224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1145160224 is about 33840.2160749603. The cubic root of 1145160224 is about 1046.2177524132.

Adding to 1145160224 its reverse (4220615411), we get a palindrome (5365775635).

The spelling of 1145160224 in words is "one billion, one hundred forty-five million, one hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 169 208 214 338 416 428 676 856 1352 1391 1712 1979 2704 2782 3424 3958 5408 5564 7916 11128 15832 18083 22256 25727 31664 36166 44512 51454 63328 72332 102908 144664 205816 211753 289328 334451 411632 423506 578656 668902 823264 847012 1337804 1694024 2675608 2752789 3388048 5351216 5505578 6776096 10702432 11011156 22022312 35786257 44044624 71572514 88089248 143145028 286290056 572580112 1145160224