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2303014220 = 2251371731709
BaseRepresentation
bin1000100101000101…
…0011010101001100
312221111112020120222
42021101103111030
514204032423340
61020305330512
7111033204113
oct21121232514
95844466528
102303014220
11a81a9a741
12543336a38
132a918c110
1417bc14c7a
15d72b98b5
hex8945354c

2303014220 has 96 divisors (see below), whose sum is σ = 5357197440. Its totient is φ = 826398720.

The previous prime is 2303014177. The next prime is 2303014223. The reversal of 2303014220 is 224103032.

It is not an unprimeable number, because it can be changed into a prime (2303014223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346726 + ... + 1348434.

It is an arithmetic number, because the mean of its divisors is an integer number (55804140).

Almost surely, 22303014220 is an apocalyptic number.

2303014220 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 2303014220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678598720).

2303014220 is an abundant number, since it is smaller than the sum of its proper divisors (3054183220).

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

2303014220 is a wasteful number, since it uses less digits than its factorization.

2303014220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2303014220 is about 47989.7303597343. The cubic root of 2303014220 is about 1320.5825061450.

Adding to 2303014220 its reverse (224103032), we get a palindrome (2527117252).

The spelling of 2303014220 in words is "two billion, three hundred three million, fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 73 130 142 146 260 284 292 355 365 710 730 923 949 1420 1460 1709 1846 1898 3418 3692 3796 4615 4745 5183 6836 8545 9230 9490 10366 17090 18460 18980 20732 22217 25915 34180 44434 51830 67379 88868 103660 111085 121339 124757 134758 222170 242678 249514 269516 336895 444340 485356 499028 606695 623785 673790 1213390 1247570 1347580 1577407 1621841 2426780 2495140 3154814 3243682 6309628 6487364 7887035 8109205 8857747 15774070 16218410 17715494 31548140 32436820 35430988 44288735 88577470 115150711 177154940 230301422 460602844 575753555 1151507110 2303014220