Search a number
-
+
2330131120 = 245193149451
BaseRepresentation
bin1000101011100010…
…1111101010110000
320000101112220222121
42022320233222300
514233003143440
61023114444024
7111512534122
oct21270575260
96011486877
102330131120
11a96330aa9
12550433614
132b1994a15
14181673212
15d987434a
hex8ae2fab0

2330131120 has 80 divisors (see below), whose sum is σ = 5886766080. Its totient is φ = 854496000.

The previous prime is 2330131117. The next prime is 2330131183. The reversal of 2330131120 is 211310332.

2330131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23301311202 = 10859022072784908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2330131094 and 2330131103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22395 + ... + 71845.

It is an arithmetic number, because the mean of its divisors is an integer number (73584576).

Almost surely, 22330131120 is an apocalyptic number.

2330131120 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 2330131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943383040).

2330131120 is an abundant number, since it is smaller than the sum of its proper divisors (3556634960).

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

2330131120 is a wasteful number, since it uses less digits than its factorization.

2330131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49514 (or 49508 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2330131120 is about 48271.4317169068. The cubic root of 2330131120 is about 1325.7453729492.

Adding to 2330131120 its reverse (211310332), we get a palindrome (2541441452).

The spelling of 2330131120 in words is "two billion, three hundred thirty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 47120 49451 98902 197804 247255 395608 494510 791216 939569 989020 1532981 1879138 1978040 3065962 3758276 3956080 4697845 6131924 7516552 7664905 9395690 12263848 15033104 15329810 18791380 24527696 29126639 30659620 37582760 58253278 61319240 75165520 116506556 122638480 145633195 233013112 291266390 466026224 582532780 1165065560 2330131120