Search a number
-
+
2014124224 = 26721016359
BaseRepresentation
bin111100000001101…
…0001100011000000
312012100221010000111
41320003101203000
513111103433344
6531505401104
7100624526200
oct17003214300
95170833014
102014124224
11943a14382
12482639194
132613811a8
141516d4400
15bbc52834
hex780d18c0

2014124224 has 84 divisors (see below), whose sum is σ = 4696084080. Its totient is φ = 854515200.

The previous prime is 2014124117. The next prime is 2014124263. The reversal of 2014124224 is 4224214102.

It is a junction number, because it is equal to n+sod(n) for n = 2014124195 and 2014124204.

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 11 ways as a sum of consecutive naturals, for example, 313557 + ... + 319915.

Almost surely, 22014124224 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 2014124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348042040).

2014124224 is an abundant number, since it is smaller than the sum of its proper divisors (2681959856).

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

2014124224 is a wasteful number, since it uses less digits than its factorization.

2014124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2014124224 is about 44878.9953541743. The cubic root of 2014124224 is about 1262.8799965055.

Adding to 2014124224 its reverse (4224214102), we get a palindrome (6238338326).

The spelling of 2014124224 in words is "two billion, fourteen million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 196 202 224 392 404 448 707 784 808 1414 1568 1616 2828 3136 3232 4949 5656 6359 6464 9898 11312 12718 19796 22624 25436 39592 44513 45248 50872 79184 89026 101744 158368 178052 203488 311591 316736 356104 406976 623182 642259 712208 1246364 1284518 1424416 2492728 2569036 2848832 4495813 4985456 5138072 8991626 9970912 10276144 17983252 19941824 20552288 31470691 35966504 41104576 62941382 71933008 125882764 143866016 251765528 287732032 503531056 1007062112 2014124224