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2314454500 = 225319723497
BaseRepresentation
bin1000100111110011…
…1100010111100100
312222022001110201001
42021330330113210
514220000021000
61021354443044
7111232352521
oct21174742744
95868043631
102314454500
11a884a3a16
12547133484
132ab666407
1417d552148
15d82c946a
hex89f3c5e4

2314454500 has 48 divisors (see below), whose sum is σ = 5080643568. Its totient is φ = 921043200.

The previous prime is 2314454407. The next prime is 2314454539. The reversal of 2314454500 is 54544132.

It can be written as a sum of positive squares in 8 ways, for example, as 38019556 + 2276434944 = 6166^2 + 47712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86752 + ... + 110248.

It is an arithmetic number, because the mean of its divisors is an integer number (105846741).

Almost surely, 22314454500 is an apocalyptic number.

2314454500 is a gapful number since it is divisible by the number (20) 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 2314454500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540321784).

2314454500 is an abundant number, since it is smaller than the sum of its proper divisors (2766189068).

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

2314454500 is a wasteful number, since it uses less digits than its factorization.

2314454500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23713 (or 23701 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2314454500 is about 48108.7777853481. Note that the first 4 decimals coincide. The cubic root of 2314454500 is about 1322.7655707181.

Adding to 2314454500 its reverse (54544132), we get a palindrome (2368998632).

The spelling of 2314454500 in words is "two billion, three hundred fourteen million, four hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 250 394 500 788 985 1970 3940 4925 9850 19700 23497 24625 46994 49250 93988 98500 117485 234970 469940 587425 1174850 2349700 2937125 4628909 5874250 9257818 11748500 18515636 23144545 46289090 92578180 115722725 231445450 462890900 578613625 1157227250 2314454500