[go: up one dir, main page]

Search a number
-
+
1130314220 = 225731725469
BaseRepresentation
bin100001101011111…
…0011100111101100
32220202212220121122
41003113303213230
54303330023340
6304054320112
740003340510
oct10327634754
92822786548
101130314220
1153003a892
12276659038
131502359a9
14aa190140
1569372db5
hex435f39ec

1130314220 has 48 divisors (see below), whose sum is σ = 2721418560. Its totient is φ = 386298624.

The previous prime is 1130314181. The next prime is 1130314247. The reversal of 1130314220 is 224130311.

It is a super-2 number, since 2×11303142202 = 2555220471868416800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31646 + ... + 57114.

It is an arithmetic number, because the mean of its divisors is an integer number (56696220).

Almost surely, 21130314220 is an apocalyptic number.

1130314220 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 1130314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360709280).

1130314220 is an abundant number, since it is smaller than the sum of its proper divisors (1591104340).

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

1130314220 is a wasteful number, since it uses less digits than its factorization.

1130314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25802 (or 25800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1130314220 is about 33620.1460437042. The cubic root of 1130314220 is about 1041.6769727265.

Adding to 1130314220 its reverse (224130311), we get a palindrome (1354444531).

The spelling of 1130314220 in words is "one billion, one hundred thirty million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 317 634 1268 1585 2219 3170 4438 6340 8876 11095 22190 25469 44380 50938 101876 127345 178283 254690 356566 509380 713132 891415 1782830 3565660 8073673 16147346 32294692 40368365 56515711 80736730 113031422 161473460 226062844 282578555 565157110 1130314220