Search a number
-
+
1314012224 = 2672616869
BaseRepresentation
bin100111001010010…
…0011110001000000
310101120112201220102
41032110203301000
510142341342344
6334215501532
744363630300
oct11624436100
93346481812
101314012224
116147a8918
123080878a8
1317c302b35
14c672b600
157a55be4e
hex4e523c40

1314012224 has 84 divisors (see below), whose sum is σ = 3083379660. Its totient is φ = 553835520.

The previous prime is 1314012223. The next prime is 1314012247. The reversal of 1314012224 is 4222104131.

It can be written as a sum of positive squares in 2 ways, for example, as 29506624 + 1284505600 = 5432^2 + 35840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1314012196 and 1314012205.

It is not an unprimeable number, because it can be changed into a prime (1314012223) 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, 187862 + ... + 194730.

Almost surely, 21314012224 is an apocalyptic number.

1314012224 is a gapful number since it is divisible by the number (14) 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 1314012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541689830).

1314012224 is an abundant number, since it is smaller than the sum of its proper divisors (1769367436).

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

1314012224 is an equidigital number, since it uses as much as digits as its factorization.

1314012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1314012224 is about 36249.3065312979. The cubic root of 1314012224 is about 1095.3001197048.

Adding to 1314012224 its reverse (4222104131), we get a palindrome (5536116355).

The spelling of 1314012224 in words is "one billion, three hundred fourteen million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 196 224 244 392 427 448 488 784 854 976 1568 1708 1952 2989 3136 3416 3904 5978 6832 6869 11956 13664 13738 23912 27328 27476 47824 48083 54952 95648 96166 109904 191296 192332 219808 336581 384664 419009 439616 673162 769328 838018 1346324 1538656 1676036 2692648 2933063 3077312 3352072 5385296 5866126 6704144 10770592 11732252 13408288 20531441 21541184 23464504 26816576 41062882 46929008 82125764 93858016 164251528 187716032 328503056 657006112 1314012224