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1224313314 = 237210141231
BaseRepresentation
bin100100011111001…
…1000100111100010
310011022202120010120
41020332120213202
510001411011224
6321253141110
742224330400
oct11076304742
93138676116
101224313314
11579102794
122a202a796
13166857c63
14b885c470
157273e779
hex48f989e2

1224313314 has 48 divisors (see below), whose sum is σ = 2876674176. Its totient is φ = 346332000.

The previous prime is 1224313301. The next prime is 1224313331. The reversal of 1224313314 is 4133134221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9079 + ... + 50309.

It is an arithmetic number, because the mean of its divisors is an integer number (59930712).

Almost surely, 21224313314 is an apocalyptic number.

1224313314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224313314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438337088).

1224313314 is an abundant number, since it is smaller than the sum of its proper divisors (1652360862).

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

1224313314 is a wasteful number, since it uses less digits than its factorization.

1224313314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41351 (or 41344 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1224313314 is about 34990.1888248692. The cubic root of 1224313314 is about 1069.7875124683.

Adding to 1224313314 its reverse (4133134221), we get a palindrome (5357447535).

The spelling of 1224313314 in words is "one billion, two hundred twenty-four million, three hundred thirteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 101 147 202 294 303 606 707 1414 2121 4242 4949 9898 14847 29694 41231 82462 123693 247386 288617 577234 865851 1731702 2020319 4040638 4164331 6060957 8328662 12121914 12492993 24985986 29150317 58300634 87450951 174901902 204052219 408104438 612156657 1224313314