Search a number
-
+
2304264220 = 225432719887
BaseRepresentation
bin1000100101011000…
…0100100000011100
312221120212202021021
42021112010200130
514204342423340
61020352213524
7111046631326
oct21126044034
95846782237
102304264220
11a827738a5
1254383a2a4
132a950906b
1417c05c616
15d7464e4a
hex8958481c

2304264220 has 48 divisors (see below), whose sum is σ = 4970262528. Its totient is φ = 896857920.

The previous prime is 2304264217. The next prime is 2304264227. The reversal of 2304264220 is 224624032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304264227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 228117 + ... + 238003.

It is an arithmetic number, because the mean of its divisors is an integer number (103547136).

Almost surely, 22304264220 is an apocalyptic number.

2304264220 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 2304264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485131264).

2304264220 is an abundant number, since it is smaller than the sum of its proper divisors (2665998308).

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

2304264220 is a wasteful number, since it uses less digits than its factorization.

2304264220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2304264220 is about 48002.7522127638. The cubic root of 2304264220 is about 1320.8213857772.

Adding to 2304264220 its reverse (224624032), we get a palindrome (2528888252).

The spelling of 2304264220 in words is "two billion, three hundred four million, two hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 271 430 542 860 1084 1355 2710 5420 9887 11653 19774 23306 39548 46612 49435 58265 98870 116530 197740 233060 425141 850282 1700564 2125705 2679377 4251410 5358754 8502820 10717508 13396885 26793770 53587540 115213211 230426422 460852844 576066055 1152132110 2304264220