Search a number
-
+
2304022000 = 24537199827
BaseRepresentation
bin1000100101010100…
…1001010111110000
312221120102110000011
42021111021113300
514204312201000
61020343104304
7111044602210
oct21125112760
95846373004
102304022000
11a82618915
12543742094
132a9452a37
1417bdd8240
15d74182ba
hex895495f0

2304022000 has 160 divisors (see below), whose sum is σ = 6406732800. Its totient is φ = 785030400.

The previous prime is 2304021997. The next prime is 2304022003. The reversal of 2304022000 is 2204032.

It is an interprime number because it is at equal distance from previous prime (2304021997) and next prime (2304022003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304022003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785587 + ... + 2786413.

It is an arithmetic number, because the mean of its divisors is an integer number (40042080).

Almost surely, 22304022000 is an apocalyptic number.

2304022000 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 2304022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203366400).

2304022000 is an abundant number, since it is smaller than the sum of its proper divisors (4102710800).

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

2304022000 is a wasteful number, since it uses less digits than its factorization.

2304022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2304022000 is about 48000.2291661196. The cubic root of 2304022000 is about 1320.7751033870.

Adding to 2304022000 its reverse (2204032), we get a palindrome (2306226032).

The spelling of 2304022000 in words is "two billion, three hundred four million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 199 200 250 280 350 398 400 500 560 700 796 827 875 995 1000 1393 1400 1592 1654 1750 1990 2000 2786 2800 3184 3308 3500 3980 4135 4975 5572 5789 6616 6965 7000 7960 8270 9950 11144 11578 13232 13930 14000 15920 16540 19900 20675 22288 23156 24875 27860 28945 33080 34825 39800 41350 46312 49750 55720 57890 66160 69650 79600 82700 92624 99500 103375 111440 115780 139300 144725 164573 165400 174125 199000 206750 231560 278600 289450 329146 330800 348250 398000 413500 463120 557200 578900 658292 696500 723625 822865 827000 1152011 1157800 1316584 1393000 1447250 1645730 1654000 2304022 2315600 2633168 2786000 2894500 3291460 4114325 4608044 5760055 5789000 6582920 8228650 9216088 11520110 11578000 13165840 16457300 18432176 20571625 23040220 28800275 32914600 41143250 46080440 57600550 65829200 82286500 92160880 115201100 144001375 164573000 230402200 288002750 329146000 460804400 576005500 1152011000 2304022000